nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
76,
95,
4,
73
] | 58 | [
"95-76=19",
"4+73=77",
"77-19=58"
] | Current State: 58:[76, 95, 4, 73], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [4, 73, 19]
Generated Node #2: [4, 73, 19] from Operation: 95-76=19
Current State: 58:[4, 73, 19], Operations: ['95-76=19']
Exploring Operation: 4+73=77, Resulting Numbers: [19, 77]
Generated Node #3: [19, 77] from Operation: 4+73=77
Current State: 58:[19, 77], Operations: ['95-76=19', '4+73=77']
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
55,
26,
53,
61
] | 73 | [
"55+26=81",
"61-53=8",
"81-8=73"
] | Current State: 73:[55, 26, 53, 61], Operations: []
Exploring Operation: 55+26=81, Resulting Numbers: [53, 61, 81]
Generated Node #2: [53, 61, 81] from Operation: 55+26=81
Current State: 73:[53, 61, 81], Operations: ['55+26=81']
Exploring Operation: 61-53=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 61-53=8
Current State: 73:[81, 8], Operations: ['55+26=81', '61-53=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
84,
58,
60,
55
] | 62 | [
"84-55=29",
"58/29=2",
"60+2=62"
] | Current State: 62:[84, 58, 60, 55], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [58, 60, 29]
Generated Node #2: [58, 60, 29] from Operation: 84-55=29
Current State: 62:[58, 60, 29], Operations: ['84-55=29']
Exploring Operation: 58/29=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 58/29=2
Current State: 62:[60, 2], Operations: ['84-55=29', '58/29=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
79,
54,
50,
61
] | 47 | [
"79-61=18",
"54/18=3",
"50-3=47"
] | Current State: 47:[79, 54, 50, 61], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [54, 50, 18]
Generated Node #2: [54, 50, 18] from Operation: 79-61=18
Current State: 47:[54, 50, 18], Operations: ['79-61=18']
Exploring Operation: 54/18=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 54/18=3
Current State: 47:[50, 3], Operations: ['79-61=18', '54/18=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
10,
4,
47,
57
] | 91 | [
"47-10=37",
"4*37=148",
"148-57=91"
] | Current State: 91:[10, 4, 47, 57], Operations: []
Exploring Operation: 47-10=37, Resulting Numbers: [4, 57, 37]
Generated Node #2: [4, 57, 37] from Operation: 47-10=37
Current State: 91:[4, 57, 37], Operations: ['47-10=37']
Exploring Operation: 4*37=148, Resulting Numbers: [57, 148]
Generated Node #3: [57, 148] from Operation: 4*37=148
Current State: 91:[57, 148], Operations: ['47-10=37', '4*37=148']
Exploring Operation: 148-57=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
20,
44,
50,
90
] | 80 | [
"20*90=1800",
"1800/50=36",
"44+36=80"
] | Current State: 80:[20, 44, 50, 90], Operations: []
Exploring Operation: 20*90=1800, Resulting Numbers: [44, 50, 1800]
Generated Node #2: [44, 50, 1800] from Operation: 20*90=1800
Current State: 80:[44, 50, 1800], Operations: ['20*90=1800']
Exploring Operation: 1800/50=36, Resulting Numbers: [44, 36]
Generated Node #3: [44, 36] from Operation: 1800/50=36
Current State: 80:[44, 36], Operations: ['20*90=1800', '1800/50=36']
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
51,
8,
33,
4
] | 52 | [
"51+33=84",
"8*4=32",
"84-32=52"
] | Current State: 52:[51, 8, 33, 4], Operations: []
Exploring Operation: 51+33=84, Resulting Numbers: [8, 4, 84]
Generated Node #2: [8, 4, 84] from Operation: 51+33=84
Current State: 52:[8, 4, 84], Operations: ['51+33=84']
Exploring Operation: 8*4=32, Resulting Numbers: [84, 32]
Generated Node #3: [84, 32] from Operation: 8*4=32
Current State: 52:[84, 32], Operations: ['51+33=84', '8*4=32']
Exploring Operation: 84-32=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
83,
56,
98,
23
] | 48 | [
"83-56=27",
"98-23=75",
"75-27=48"
] | Current State: 48:[83, 56, 98, 23], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [98, 23, 27]
Generated Node #2: [98, 23, 27] from Operation: 83-56=27
Current State: 48:[98, 23, 27], Operations: ['83-56=27']
Exploring Operation: 98-23=75, Resulting Numbers: [27, 75]
Generated Node #3: [27, 75] from Operation: 98-23=75
Current State: 48:[27, 75], Operations: ['83-56=27', '98-23=75']
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
26,
98,
12,
7
] | 53 | [
"98-26=72",
"12+7=19",
"72-19=53"
] | Current State: 53:[26, 98, 12, 7], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [12, 7, 72]
Generated Node #2: [12, 7, 72] from Operation: 98-26=72
Current State: 53:[12, 7, 72], Operations: ['98-26=72']
Exploring Operation: 12+7=19, Resulting Numbers: [72, 19]
Generated Node #3: [72, 19] from Operation: 12+7=19
Current State: 53:[72, 19], Operations: ['98-26=72', '12+7=19']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
55,
5,
61
] | 86 | [
"60-55=5",
"5*5=25",
"61+25=86"
] | Current State: 86:[60, 55, 5, 61], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [5, 61, 5]
Generated Node #2: [5, 61, 5] from Operation: 60-55=5
Current State: 86:[5, 61, 5], Operations: ['60-55=5']
Exploring Operation: 5*5=25, Resulting Numbers: [61, 25]
Generated Node #3: [61, 25] from Operation: 5*5=25
Current State: 86:[61, 25], Operations: ['60-55=5', '5*5=25']
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
78,
13,
2,
27
] | 94 | [
"78-13=65",
"2+27=29",
"65+29=94"
] | Current State: 94:[78, 13, 2, 27], Operations: []
Exploring Operation: 78-13=65, Resulting Numbers: [2, 27, 65]
Generated Node #2: [2, 27, 65] from Operation: 78-13=65
Current State: 94:[2, 27, 65], Operations: ['78-13=65']
Exploring Operation: 2+27=29, Resulting Numbers: [65, 29]
Generated Node #3: [65, 29] from Operation: 2+27=29
Current State: 94:[65, 29], Operations: ['78-13=65', '2+27=29']
Exploring Operation: 65+29=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
6,
7,
48
] | 50 | [
"20-6=14",
"7*14=98",
"98-48=50"
] | Current State: 50:[20, 6, 7, 48], Operations: []
Exploring Operation: 20-6=14, Resulting Numbers: [7, 48, 14]
Generated Node #2: [7, 48, 14] from Operation: 20-6=14
Current State: 50:[7, 48, 14], Operations: ['20-6=14']
Exploring Operation: 7*14=98, Resulting Numbers: [48, 98]
Generated Node #3: [48, 98] from Operation: 7*14=98
Current State: 50:[48, 98], Operations: ['20-6=14', '7*14=98']
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
4,
33,
83,
10
] | 19 | [
"33+83=116",
"116/4=29",
"29-10=19"
] | Current State: 19:[4, 33, 83, 10], Operations: []
Exploring Operation: 33+83=116, Resulting Numbers: [4, 10, 116]
Generated Node #2: [4, 10, 116] from Operation: 33+83=116
Current State: 19:[4, 10, 116], Operations: ['33+83=116']
Exploring Operation: 116/4=29, Resulting Numbers: [10, 29]
Generated Node #3: [10, 29] from Operation: 116/4=29
Current State: 19:[10, 29], Operations: ['33+83=116', '116/4=29']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
13,
11,
10
] | 30 | [
"72*10=720",
"13+11=24",
"720/24=30"
] | Current State: 30:[72, 13, 11, 10], Operations: []
Exploring Operation: 72*10=720, Resulting Numbers: [13, 11, 720]
Generated Node #2: [13, 11, 720] from Operation: 72*10=720
Current State: 30:[13, 11, 720], Operations: ['72*10=720']
Exploring Operation: 13+11=24, Resulting Numbers: [720, 24]
Generated Node #3: [720, 24] from Operation: 13+11=24
Current State: 30:[720, 24], Operations: ['72*10=720', '13+11=24']
Exploring Operation: 720/24=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
24,
48,
96,
79
] | 91 | [
"24*48=1152",
"1152/96=12",
"79+12=91"
] | Current State: 91:[24, 48, 96, 79], Operations: []
Exploring Operation: 24*48=1152, Resulting Numbers: [96, 79, 1152]
Generated Node #2: [96, 79, 1152] from Operation: 24*48=1152
Current State: 91:[96, 79, 1152], Operations: ['24*48=1152']
Exploring Operation: 1152/96=12, Resulting Numbers: [79, 12]
Generated Node #3: [79, 12] from Operation: 1152/96=12
Current State: 91:[79, 12], Operations: ['24*48=1152', '1152/96=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
82,
55,
18,
77
] | 42 | [
"82+55=137",
"18+77=95",
"137-95=42"
] | Current State: 42:[82, 55, 18, 77], Operations: []
Exploring Operation: 82+55=137, Resulting Numbers: [18, 77, 137]
Generated Node #2: [18, 77, 137] from Operation: 82+55=137
Current State: 42:[18, 77, 137], Operations: ['82+55=137']
Exploring Operation: 18+77=95, Resulting Numbers: [137, 95]
Generated Node #3: [137, 95] from Operation: 18+77=95
Current State: 42:[137, 95], Operations: ['82+55=137', '18+77=95']
Exploring Operation: 137-95=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
99,
48,
25,
11
] | 87 | [
"99-48=51",
"25+11=36",
"51+36=87"
] | Current State: 87:[99, 48, 25, 11], Operations: []
Exploring Operation: 99-48=51, Resulting Numbers: [25, 11, 51]
Generated Node #2: [25, 11, 51] from Operation: 99-48=51
Current State: 87:[25, 11, 51], Operations: ['99-48=51']
Exploring Operation: 25+11=36, Resulting Numbers: [51, 36]
Generated Node #3: [51, 36] from Operation: 25+11=36
Current State: 87:[51, 36], Operations: ['99-48=51', '25+11=36']
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
11,
73,
14,
4
] | 77 | [
"11*14=154",
"73+4=77",
"154-77=77"
] | Current State: 77:[11, 73, 14, 4], Operations: []
Exploring Operation: 11*14=154, Resulting Numbers: [73, 4, 154]
Generated Node #2: [73, 4, 154] from Operation: 11*14=154
Current State: 77:[73, 4, 154], Operations: ['11*14=154']
Exploring Operation: 73+4=77, Resulting Numbers: [154, 77]
Generated Node #3: [154, 77] from Operation: 73+4=77
Current State: 77:[154, 77], Operations: ['11*14=154', '73+4=77']
Exploring Operation: 154-77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
21,
58,
78,
96
] | 24 | [
"78+96=174",
"174/58=3",
"21+3=24"
] | Current State: 24:[21, 58, 78, 96], Operations: []
Exploring Operation: 78+96=174, Resulting Numbers: [21, 58, 174]
Generated Node #2: [21, 58, 174] from Operation: 78+96=174
Current State: 24:[21, 58, 174], Operations: ['78+96=174']
Exploring Operation: 174/58=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 174/58=3
Current State: 24:[21, 3], Operations: ['78+96=174', '174/58=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
46,
41,
89,
66
] | 33 | [
"46+41=87",
"89-87=2",
"66/2=33"
] | Current State: 33:[46, 41, 89, 66], Operations: []
Exploring Operation: 46+41=87, Resulting Numbers: [89, 66, 87]
Generated Node #2: [89, 66, 87] from Operation: 46+41=87
Current State: 33:[89, 66, 87], Operations: ['46+41=87']
Exploring Operation: 89-87=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 89-87=2
Current State: 33:[66, 2], Operations: ['46+41=87', '89-87=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
32,
54,
62,
99
] | 59 | [
"54-32=22",
"99-62=37",
"22+37=59"
] | Current State: 59:[32, 54, 62, 99], Operations: []
Exploring Operation: 54-32=22, Resulting Numbers: [62, 99, 22]
Generated Node #2: [62, 99, 22] from Operation: 54-32=22
Current State: 59:[62, 99, 22], Operations: ['54-32=22']
Exploring Operation: 99-62=37, Resulting Numbers: [22, 37]
Generated Node #3: [22, 37] from Operation: 99-62=37
Current State: 59:[22, 37], Operations: ['54-32=22', '99-62=37']
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
46,
25,
29,
89
] | 81 | [
"46-25=21",
"89-29=60",
"21+60=81"
] | Current State: 81:[46, 25, 29, 89], Operations: []
Exploring Operation: 46-25=21, Resulting Numbers: [29, 89, 21]
Generated Node #2: [29, 89, 21] from Operation: 46-25=21
Current State: 81:[29, 89, 21], Operations: ['46-25=21']
Exploring Operation: 89-29=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 89-29=60
Current State: 81:[21, 60], Operations: ['46-25=21', '89-29=60']
Exploring Operation: 21+60=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
56,
20,
43
] | 38 | [
"56-31=25",
"20+43=63",
"63-25=38"
] | Current State: 38:[31, 56, 20, 43], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [20, 43, 25]
Generated Node #2: [20, 43, 25] from Operation: 56-31=25
Current State: 38:[20, 43, 25], Operations: ['56-31=25']
Exploring Operation: 20+43=63, Resulting Numbers: [25, 63]
Generated Node #3: [25, 63] from Operation: 20+43=63
Current State: 38:[25, 63], Operations: ['56-31=25', '20+43=63']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
6,
72,
37,
67
] | 26 | [
"6+72=78",
"37+67=104",
"104-78=26"
] | Current State: 26:[6, 72, 37, 67], Operations: []
Exploring Operation: 6+72=78, Resulting Numbers: [37, 67, 78]
Generated Node #2: [37, 67, 78] from Operation: 6+72=78
Current State: 26:[37, 67, 78], Operations: ['6+72=78']
Exploring Operation: 37+67=104, Resulting Numbers: [78, 104]
Generated Node #3: [78, 104] from Operation: 37+67=104
Current State: 26:[78, 104], Operations: ['6+72=78', '37+67=104']
Exploring Operation: 104-78=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
50,
47,
63,
81
] | 54 | [
"50-47=3",
"81-63=18",
"3*18=54"
] | Current State: 54:[50, 47, 63, 81], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [63, 81, 3]
Generated Node #2: [63, 81, 3] from Operation: 50-47=3
Current State: 54:[63, 81, 3], Operations: ['50-47=3']
Exploring Operation: 81-63=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 81-63=18
Current State: 54:[3, 18], Operations: ['50-47=3', '81-63=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
6,
31,
25,
34
] | 50 | [
"6*25=150",
"34-31=3",
"150/3=50"
] | Current State: 50:[6, 31, 25, 34], Operations: []
Exploring Operation: 6*25=150, Resulting Numbers: [31, 34, 150]
Generated Node #2: [31, 34, 150] from Operation: 6*25=150
Current State: 50:[31, 34, 150], Operations: ['6*25=150']
Exploring Operation: 34-31=3, Resulting Numbers: [150, 3]
Generated Node #3: [150, 3] from Operation: 34-31=3
Current State: 50:[150, 3], Operations: ['6*25=150', '34-31=3']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
16,
12,
2,
8
] | 92 | [
"16*12=192",
"192-8=184",
"184/2=92"
] | Current State: 92:[16, 12, 2, 8], Operations: []
Exploring Operation: 16*12=192, Resulting Numbers: [2, 8, 192]
Generated Node #2: [2, 8, 192] from Operation: 16*12=192
Current State: 92:[2, 8, 192], Operations: ['16*12=192']
Exploring Operation: 192-8=184, Resulting Numbers: [2, 184]
Generated Node #3: [2, 184] from Operation: 192-8=184
Current State: 92:[2, 184], Operations: ['16*12=192', '192-8=184']
Exploring Operation: 184/2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
34,
99,
45,
51
] | 71 | [
"99-34=65",
"51-45=6",
"65+6=71"
] | Current State: 71:[34, 99, 45, 51], Operations: []
Exploring Operation: 99-34=65, Resulting Numbers: [45, 51, 65]
Generated Node #2: [45, 51, 65] from Operation: 99-34=65
Current State: 71:[45, 51, 65], Operations: ['99-34=65']
Exploring Operation: 51-45=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 51-45=6
Current State: 71:[65, 6], Operations: ['99-34=65', '51-45=6']
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
10,
69,
23,
38
] | 16 | [
"10+38=48",
"69/23=3",
"48/3=16"
] | Current State: 16:[10, 69, 23, 38], Operations: []
Exploring Operation: 10+38=48, Resulting Numbers: [69, 23, 48]
Generated Node #2: [69, 23, 48] from Operation: 10+38=48
Current State: 16:[69, 23, 48], Operations: ['10+38=48']
Exploring Operation: 69/23=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 69/23=3
Current State: 16:[48, 3], Operations: ['10+38=48', '69/23=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
19,
84,
68,
5
] | 55 | [
"84-19=65",
"65/5=13",
"68-13=55"
] | Current State: 55:[19, 84, 68, 5], Operations: []
Exploring Operation: 84-19=65, Resulting Numbers: [68, 5, 65]
Generated Node #2: [68, 5, 65] from Operation: 84-19=65
Current State: 55:[68, 5, 65], Operations: ['84-19=65']
Exploring Operation: 65/5=13, Resulting Numbers: [68, 13]
Generated Node #3: [68, 13] from Operation: 65/5=13
Current State: 55:[68, 13], Operations: ['84-19=65', '65/5=13']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
77,
96,
12,
18
] | 51 | [
"77-18=59",
"96/12=8",
"59-8=51"
] | Current State: 51:[77, 96, 12, 18], Operations: []
Exploring Operation: 77-18=59, Resulting Numbers: [96, 12, 59]
Generated Node #2: [96, 12, 59] from Operation: 77-18=59
Current State: 51:[96, 12, 59], Operations: ['77-18=59']
Exploring Operation: 96/12=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 96/12=8
Current State: 51:[59, 8], Operations: ['77-18=59', '96/12=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
17,
72,
18,
5
] | 79 | [
"17+18=35",
"35/5=7",
"72+7=79"
] | Current State: 79:[17, 72, 18, 5], Operations: []
Exploring Operation: 17+18=35, Resulting Numbers: [72, 5, 35]
Generated Node #2: [72, 5, 35] from Operation: 17+18=35
Current State: 79:[72, 5, 35], Operations: ['17+18=35']
Exploring Operation: 35/5=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 35/5=7
Current State: 79:[72, 7], Operations: ['17+18=35', '35/5=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
52,
50,
40,
55
] | 48 | [
"52*50=2600",
"40+2600=2640",
"2640/55=48"
] | Current State: 48:[52, 50, 40, 55], Operations: []
Exploring Operation: 52*50=2600, Resulting Numbers: [40, 55, 2600]
Generated Node #2: [40, 55, 2600] from Operation: 52*50=2600
Current State: 48:[40, 55, 2600], Operations: ['52*50=2600']
Exploring Operation: 40+2600=2640, Resulting Numbers: [55, 2640]
Generated Node #3: [55, 2640] from Operation: 40+2600=2640
Current State: 48:[55, 2640], Operations: ['52*50=2600', '40+2600=2640']
Exploring Operation: 2640/55=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
22,
64,
53,
74
] | 41 | [
"22+64=86",
"53+74=127",
"127-86=41"
] | Current State: 41:[22, 64, 53, 74], Operations: []
Exploring Operation: 22+64=86, Resulting Numbers: [53, 74, 86]
Generated Node #2: [53, 74, 86] from Operation: 22+64=86
Current State: 41:[53, 74, 86], Operations: ['22+64=86']
Exploring Operation: 53+74=127, Resulting Numbers: [86, 127]
Generated Node #3: [86, 127] from Operation: 53+74=127
Current State: 41:[86, 127], Operations: ['22+64=86', '53+74=127']
Exploring Operation: 127-86=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
74,
91,
19
] | 13 | [
"8*19=152",
"74+91=165",
"165-152=13"
] | Current State: 13:[8, 74, 91, 19], Operations: []
Exploring Operation: 8*19=152, Resulting Numbers: [74, 91, 152]
Generated Node #2: [74, 91, 152] from Operation: 8*19=152
Current State: 13:[74, 91, 152], Operations: ['8*19=152']
Exploring Operation: 74+91=165, Resulting Numbers: [152, 165]
Generated Node #3: [152, 165] from Operation: 74+91=165
Current State: 13:[152, 165], Operations: ['8*19=152', '74+91=165']
Exploring Operation: 165-152=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
19,
11,
86,
86
] | 29 | [
"19+11=30",
"86/86=1",
"30-1=29"
] | Current State: 29:[19, 11, 86, 86], Operations: []
Exploring Operation: 19+11=30, Resulting Numbers: [86, 86, 30]
Generated Node #2: [86, 86, 30] from Operation: 19+11=30
Current State: 29:[86, 86, 30], Operations: ['19+11=30']
Exploring Operation: 86/86=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 86/86=1
Current State: 29:[30, 1], Operations: ['19+11=30', '86/86=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
18,
75,
28,
51
] | 14 | [
"18+75=93",
"28+51=79",
"93-79=14"
] | Current State: 14:[18, 75, 28, 51], Operations: []
Exploring Operation: 18+75=93, Resulting Numbers: [28, 51, 93]
Generated Node #2: [28, 51, 93] from Operation: 18+75=93
Current State: 14:[28, 51, 93], Operations: ['18+75=93']
Exploring Operation: 28+51=79, Resulting Numbers: [93, 79]
Generated Node #3: [93, 79] from Operation: 28+51=79
Current State: 14:[93, 79], Operations: ['18+75=93', '28+51=79']
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
87,
62,
23,
34
] | 92 | [
"87+62=149",
"23+34=57",
"149-57=92"
] | Current State: 92:[87, 62, 23, 34], Operations: []
Exploring Operation: 87+62=149, Resulting Numbers: [23, 34, 149]
Generated Node #2: [23, 34, 149] from Operation: 87+62=149
Current State: 92:[23, 34, 149], Operations: ['87+62=149']
Exploring Operation: 23+34=57, Resulting Numbers: [149, 57]
Generated Node #3: [149, 57] from Operation: 23+34=57
Current State: 92:[149, 57], Operations: ['87+62=149', '23+34=57']
Exploring Operation: 149-57=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
60,
43,
89,
32
] | 46 | [
"60+43=103",
"89-32=57",
"103-57=46"
] | Current State: 46:[60, 43, 89, 32], Operations: []
Exploring Operation: 60+43=103, Resulting Numbers: [89, 32, 103]
Generated Node #2: [89, 32, 103] from Operation: 60+43=103
Current State: 46:[89, 32, 103], Operations: ['60+43=103']
Exploring Operation: 89-32=57, Resulting Numbers: [103, 57]
Generated Node #3: [103, 57] from Operation: 89-32=57
Current State: 46:[103, 57], Operations: ['60+43=103', '89-32=57']
Exploring Operation: 103-57=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
7,
48,
24,
4
] | 84 | [
"48/4=12",
"24-12=12",
"7*12=84"
] | Current State: 84:[7, 48, 24, 4], Operations: []
Exploring Operation: 48/4=12, Resulting Numbers: [7, 24, 12]
Generated Node #2: [7, 24, 12] from Operation: 48/4=12
Current State: 84:[7, 24, 12], Operations: ['48/4=12']
Exploring Operation: 24-12=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 24-12=12
Current State: 84:[7, 12], Operations: ['48/4=12', '24-12=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
5,
88,
74,
68
] | 26 | [
"88-68=20",
"5*20=100",
"100-74=26"
] | Current State: 26:[5, 88, 74, 68], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [5, 74, 20]
Generated Node #2: [5, 74, 20] from Operation: 88-68=20
Current State: 26:[5, 74, 20], Operations: ['88-68=20']
Exploring Operation: 5*20=100, Resulting Numbers: [74, 100]
Generated Node #3: [74, 100] from Operation: 5*20=100
Current State: 26:[74, 100], Operations: ['88-68=20', '5*20=100']
Exploring Operation: 100-74=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
58,
95,
96,
78
] | 20 | [
"78-58=20",
"96-95=1",
"20*1=20"
] | Current State: 20:[58, 95, 96, 78], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [95, 96, 20]
Generated Node #2: [95, 96, 20] from Operation: 78-58=20
Current State: 20:[95, 96, 20], Operations: ['78-58=20']
Exploring Operation: 96-95=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 96-95=1
Current State: 20:[20, 1], Operations: ['78-58=20', '96-95=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
59,
20,
4,
3
] | 86 | [
"59+20=79",
"4+3=7",
"79+7=86"
] | Current State: 86:[59, 20, 4, 3], Operations: []
Exploring Operation: 59+20=79, Resulting Numbers: [4, 3, 79]
Generated Node #2: [4, 3, 79] from Operation: 59+20=79
Current State: 86:[4, 3, 79], Operations: ['59+20=79']
Exploring Operation: 4+3=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 4+3=7
Current State: 86:[79, 7], Operations: ['59+20=79', '4+3=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
54,
57,
67,
3
] | 30 | [
"54+57=111",
"111/3=37",
"67-37=30"
] | Current State: 30:[54, 57, 67, 3], Operations: []
Exploring Operation: 54+57=111, Resulting Numbers: [67, 3, 111]
Generated Node #2: [67, 3, 111] from Operation: 54+57=111
Current State: 30:[67, 3, 111], Operations: ['54+57=111']
Exploring Operation: 111/3=37, Resulting Numbers: [67, 37]
Generated Node #3: [67, 37] from Operation: 111/3=37
Current State: 30:[67, 37], Operations: ['54+57=111', '111/3=37']
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
48,
38,
64,
29
] | 12 | [
"38-29=9",
"64*9=576",
"576/48=12"
] | Current State: 12:[48, 38, 64, 29], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [48, 64, 9]
Generated Node #2: [48, 64, 9] from Operation: 38-29=9
Current State: 12:[48, 64, 9], Operations: ['38-29=9']
Exploring Operation: 64*9=576, Resulting Numbers: [48, 576]
Generated Node #3: [48, 576] from Operation: 64*9=576
Current State: 12:[48, 576], Operations: ['38-29=9', '64*9=576']
Exploring Operation: 576/48=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
53,
91,
64,
81
] | 36 | [
"53+91=144",
"64*81=5184",
"5184/144=36"
] | Current State: 36:[53, 91, 64, 81], Operations: []
Exploring Operation: 53+91=144, Resulting Numbers: [64, 81, 144]
Generated Node #2: [64, 81, 144] from Operation: 53+91=144
Current State: 36:[64, 81, 144], Operations: ['53+91=144']
Exploring Operation: 64*81=5184, Resulting Numbers: [144, 5184]
Generated Node #3: [144, 5184] from Operation: 64*81=5184
Current State: 36:[144, 5184], Operations: ['53+91=144', '64*81=5184']
Exploring Operation: 5184/144=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
59,
11,
31,
5
] | 84 | [
"59-11=48",
"31+5=36",
"48+36=84"
] | Current State: 84:[59, 11, 31, 5], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [31, 5, 48]
Generated Node #2: [31, 5, 48] from Operation: 59-11=48
Current State: 84:[31, 5, 48], Operations: ['59-11=48']
Exploring Operation: 31+5=36, Resulting Numbers: [48, 36]
Generated Node #3: [48, 36] from Operation: 31+5=36
Current State: 84:[48, 36], Operations: ['59-11=48', '31+5=36']
Exploring Operation: 48+36=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
71,
70,
28,
78
] | 14 | [
"78-71=7",
"70+28=98",
"98/7=14"
] | Current State: 14:[71, 70, 28, 78], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [70, 28, 7]
Generated Node #2: [70, 28, 7] from Operation: 78-71=7
Current State: 14:[70, 28, 7], Operations: ['78-71=7']
Exploring Operation: 70+28=98, Resulting Numbers: [7, 98]
Generated Node #3: [7, 98] from Operation: 70+28=98
Current State: 14:[7, 98], Operations: ['78-71=7', '70+28=98']
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
21,
84,
5,
76
] | 61 | [
"84-76=8",
"5*8=40",
"21+40=61"
] | Current State: 61:[21, 84, 5, 76], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [21, 5, 8]
Generated Node #2: [21, 5, 8] from Operation: 84-76=8
Current State: 61:[21, 5, 8], Operations: ['84-76=8']
Exploring Operation: 5*8=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 5*8=40
Current State: 61:[21, 40], Operations: ['84-76=8', '5*8=40']
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
7,
78,
83,
42
] | 77 | [
"83-78=5",
"7*5=35",
"42+35=77"
] | Current State: 77:[7, 78, 83, 42], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [7, 42, 5]
Generated Node #2: [7, 42, 5] from Operation: 83-78=5
Current State: 77:[7, 42, 5], Operations: ['83-78=5']
Exploring Operation: 7*5=35, Resulting Numbers: [42, 35]
Generated Node #3: [42, 35] from Operation: 7*5=35
Current State: 77:[42, 35], Operations: ['83-78=5', '7*5=35']
Exploring Operation: 42+35=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
31,
49,
44,
24
] | 100 | [
"31+49=80",
"44-24=20",
"80+20=100"
] | Current State: 100:[31, 49, 44, 24], Operations: []
Exploring Operation: 31+49=80, Resulting Numbers: [44, 24, 80]
Generated Node #2: [44, 24, 80] from Operation: 31+49=80
Current State: 100:[44, 24, 80], Operations: ['31+49=80']
Exploring Operation: 44-24=20, Resulting Numbers: [80, 20]
Generated Node #3: [80, 20] from Operation: 44-24=20
Current State: 100:[80, 20], Operations: ['31+49=80', '44-24=20']
Exploring Operation: 80+20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
9,
36,
78,
4
] | 78 | [
"36/9=4",
"78+4=82",
"82-4=78"
] | Current State: 78:[9, 36, 78, 4], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [78, 4, 4]
Generated Node #2: [78, 4, 4] from Operation: 36/9=4
Current State: 78:[78, 4, 4], Operations: ['36/9=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,78 equal: Goal Reached
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
13,
87,
17,
99
] | 17 | [
"13+87=100",
"100-99=1",
"17*1=17"
] | Current State: 17:[13, 87, 17, 99], Operations: []
Exploring Operation: 13+87=100, Resulting Numbers: [17, 99, 100]
Generated Node #2: [17, 99, 100] from Operation: 13+87=100
Current State: 17:[17, 99, 100], Operations: ['13+87=100']
Exploring Operation: 100-99=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 100-99=1
Current State: 17:[17, 1], Operations: ['13+87=100', '100-99=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
47,
53,
32
] | 66 | [
"47-28=19",
"53+32=85",
"85-19=66"
] | Current State: 66:[28, 47, 53, 32], Operations: []
Exploring Operation: 47-28=19, Resulting Numbers: [53, 32, 19]
Generated Node #2: [53, 32, 19] from Operation: 47-28=19
Current State: 66:[53, 32, 19], Operations: ['47-28=19']
Exploring Operation: 53+32=85, Resulting Numbers: [19, 85]
Generated Node #3: [19, 85] from Operation: 53+32=85
Current State: 66:[19, 85], Operations: ['47-28=19', '53+32=85']
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
83,
55,
85,
75
] | 65 | [
"85-83=2",
"55+75=130",
"130/2=65"
] | Current State: 65:[83, 55, 85, 75], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [55, 75, 2]
Generated Node #2: [55, 75, 2] from Operation: 85-83=2
Current State: 65:[55, 75, 2], Operations: ['85-83=2']
Exploring Operation: 55+75=130, Resulting Numbers: [2, 130]
Generated Node #3: [2, 130] from Operation: 55+75=130
Current State: 65:[2, 130], Operations: ['85-83=2', '55+75=130']
Exploring Operation: 130/2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
92,
42,
8,
18
] | 19 | [
"92+42=134",
"18+134=152",
"152/8=19"
] | Current State: 19:[92, 42, 8, 18], Operations: []
Exploring Operation: 92+42=134, Resulting Numbers: [8, 18, 134]
Generated Node #2: [8, 18, 134] from Operation: 92+42=134
Current State: 19:[8, 18, 134], Operations: ['92+42=134']
Exploring Operation: 18+134=152, Resulting Numbers: [8, 152]
Generated Node #3: [8, 152] from Operation: 18+134=152
Current State: 19:[8, 152], Operations: ['92+42=134', '18+134=152']
Exploring Operation: 152/8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
30,
2,
32,
52
] | 36 | [
"30+32=62",
"52/2=26",
"62-26=36"
] | Current State: 36:[30, 2, 32, 52], Operations: []
Exploring Operation: 30+32=62, Resulting Numbers: [2, 52, 62]
Generated Node #2: [2, 52, 62] from Operation: 30+32=62
Current State: 36:[2, 52, 62], Operations: ['30+32=62']
Exploring Operation: 52/2=26, Resulting Numbers: [62, 26]
Generated Node #3: [62, 26] from Operation: 52/2=26
Current State: 36:[62, 26], Operations: ['30+32=62', '52/2=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
20,
49,
28,
27
] | 45 | [
"27-20=7",
"28/7=4",
"49-4=45"
] | Current State: 45:[20, 49, 28, 27], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [49, 28, 7]
Generated Node #2: [49, 28, 7] from Operation: 27-20=7
Current State: 45:[49, 28, 7], Operations: ['27-20=7']
Exploring Operation: 28/7=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 28/7=4
Current State: 45:[49, 4], Operations: ['27-20=7', '28/7=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
9,
10,
94,
8
] | 23 | [
"9*10=90",
"94+90=184",
"184/8=23"
] | Current State: 23:[9, 10, 94, 8], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [94, 8, 90]
Generated Node #2: [94, 8, 90] from Operation: 9*10=90
Current State: 23:[94, 8, 90], Operations: ['9*10=90']
Exploring Operation: 94+90=184, Resulting Numbers: [8, 184]
Generated Node #3: [8, 184] from Operation: 94+90=184
Current State: 23:[8, 184], Operations: ['9*10=90', '94+90=184']
Exploring Operation: 184/8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
25,
29,
4
] | 83 | [
"3+25=28",
"4*28=112",
"112-29=83"
] | Current State: 83:[3, 25, 29, 4], Operations: []
Exploring Operation: 3+25=28, Resulting Numbers: [29, 4, 28]
Generated Node #2: [29, 4, 28] from Operation: 3+25=28
Current State: 83:[29, 4, 28], Operations: ['3+25=28']
Exploring Operation: 4*28=112, Resulting Numbers: [29, 112]
Generated Node #3: [29, 112] from Operation: 4*28=112
Current State: 83:[29, 112], Operations: ['3+25=28', '4*28=112']
Exploring Operation: 112-29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
34,
59,
32,
57
] | 50 | [
"59-34=25",
"57-32=25",
"25+25=50"
] | Current State: 50:[34, 59, 32, 57], Operations: []
Exploring Operation: 59-34=25, Resulting Numbers: [32, 57, 25]
Generated Node #2: [32, 57, 25] from Operation: 59-34=25
Current State: 50:[32, 57, 25], Operations: ['59-34=25']
Exploring Operation: 57-32=25, Resulting Numbers: [25, 25]
Generated Node #3: [25, 25] from Operation: 57-32=25
Current State: 50:[25, 25], Operations: ['59-34=25', '57-32=25']
Exploring Operation: 25+25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
95,
55,
47,
2
] | 14 | [
"95-55=40",
"47-40=7",
"2*7=14"
] | Current State: 14:[95, 55, 47, 2], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [47, 2, 40]
Generated Node #2: [47, 2, 40] from Operation: 95-55=40
Current State: 14:[47, 2, 40], Operations: ['95-55=40']
Exploring Operation: 47-40=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 47-40=7
Current State: 14:[2, 7], Operations: ['95-55=40', '47-40=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
20,
43,
14,
54
] | 34 | [
"20-14=6",
"54/6=9",
"43-9=34"
] | Current State: 34:[20, 43, 14, 54], Operations: []
Exploring Operation: 20-14=6, Resulting Numbers: [43, 54, 6]
Generated Node #2: [43, 54, 6] from Operation: 20-14=6
Current State: 34:[43, 54, 6], Operations: ['20-14=6']
Exploring Operation: 54/6=9, Resulting Numbers: [43, 9]
Generated Node #3: [43, 9] from Operation: 54/6=9
Current State: 34:[43, 9], Operations: ['20-14=6', '54/6=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
58,
2,
18,
19
] | 68 | [
"58+19=77",
"18/2=9",
"77-9=68"
] | Current State: 68:[58, 2, 18, 19], Operations: []
Exploring Operation: 58+19=77, Resulting Numbers: [2, 18, 77]
Generated Node #2: [2, 18, 77] from Operation: 58+19=77
Current State: 68:[2, 18, 77], Operations: ['58+19=77']
Exploring Operation: 18/2=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 18/2=9
Current State: 68:[77, 9], Operations: ['58+19=77', '18/2=9']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
88,
18,
26,
34
] | 62 | [
"88-18=70",
"34-26=8",
"70-8=62"
] | Current State: 62:[88, 18, 26, 34], Operations: []
Exploring Operation: 88-18=70, Resulting Numbers: [26, 34, 70]
Generated Node #2: [26, 34, 70] from Operation: 88-18=70
Current State: 62:[26, 34, 70], Operations: ['88-18=70']
Exploring Operation: 34-26=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 34-26=8
Current State: 62:[70, 8], Operations: ['88-18=70', '34-26=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
65,
57,
51,
34
] | 93 | [
"65-57=8",
"51+34=85",
"8+85=93"
] | Current State: 93:[65, 57, 51, 34], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [51, 34, 8]
Generated Node #2: [51, 34, 8] from Operation: 65-57=8
Current State: 93:[51, 34, 8], Operations: ['65-57=8']
Exploring Operation: 51+34=85, Resulting Numbers: [8, 85]
Generated Node #3: [8, 85] from Operation: 51+34=85
Current State: 93:[8, 85], Operations: ['65-57=8', '51+34=85']
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
8,
15,
80,
4
] | 90 | [
"80/8=10",
"10-4=6",
"15*6=90"
] | Current State: 90:[8, 15, 80, 4], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [15, 4, 10]
Generated Node #2: [15, 4, 10] from Operation: 80/8=10
Current State: 90:[15, 4, 10], Operations: ['80/8=10']
Exploring Operation: 10-4=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 10-4=6
Current State: 90:[15, 6], Operations: ['80/8=10', '10-4=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
72,
19,
3,
78
] | 57 | [
"72+3=75",
"78-75=3",
"19*3=57"
] | Current State: 57:[72, 19, 3, 78], Operations: []
Exploring Operation: 72+3=75, Resulting Numbers: [19, 78, 75]
Generated Node #2: [19, 78, 75] from Operation: 72+3=75
Current State: 57:[19, 78, 75], Operations: ['72+3=75']
Exploring Operation: 78-75=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 78-75=3
Current State: 57:[19, 3], Operations: ['72+3=75', '78-75=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
26,
66,
53,
39
] | 46 | [
"66*39=2574",
"2574/26=99",
"99-53=46"
] | Current State: 46:[26, 66, 53, 39], Operations: []
Exploring Operation: 66*39=2574, Resulting Numbers: [26, 53, 2574]
Generated Node #2: [26, 53, 2574] from Operation: 66*39=2574
Current State: 46:[26, 53, 2574], Operations: ['66*39=2574']
Exploring Operation: 2574/26=99, Resulting Numbers: [53, 99]
Generated Node #3: [53, 99] from Operation: 2574/26=99
Current State: 46:[53, 99], Operations: ['66*39=2574', '2574/26=99']
Exploring Operation: 99-53=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
78,
18,
8,
15
] | 72 | [
"18-8=10",
"15*10=150",
"150-78=72"
] | Current State: 72:[78, 18, 8, 15], Operations: []
Exploring Operation: 18-8=10, Resulting Numbers: [78, 15, 10]
Generated Node #2: [78, 15, 10] from Operation: 18-8=10
Current State: 72:[78, 15, 10], Operations: ['18-8=10']
Exploring Operation: 15*10=150, Resulting Numbers: [78, 150]
Generated Node #3: [78, 150] from Operation: 15*10=150
Current State: 72:[78, 150], Operations: ['18-8=10', '15*10=150']
Exploring Operation: 150-78=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
65,
7,
97,
9
] | 89 | [
"65+7=72",
"72/9=8",
"97-8=89"
] | Current State: 89:[65, 7, 97, 9], Operations: []
Exploring Operation: 65+7=72, Resulting Numbers: [97, 9, 72]
Generated Node #2: [97, 9, 72] from Operation: 65+7=72
Current State: 89:[97, 9, 72], Operations: ['65+7=72']
Exploring Operation: 72/9=8, Resulting Numbers: [97, 8]
Generated Node #3: [97, 8] from Operation: 72/9=8
Current State: 89:[97, 8], Operations: ['65+7=72', '72/9=8']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
29,
30,
53,
21
] | 75 | [
"30-29=1",
"53+21=74",
"1+74=75"
] | Current State: 75:[29, 30, 53, 21], Operations: []
Exploring Operation: 30-29=1, Resulting Numbers: [53, 21, 1]
Generated Node #2: [53, 21, 1] from Operation: 30-29=1
Current State: 75:[53, 21, 1], Operations: ['30-29=1']
Exploring Operation: 53+21=74, Resulting Numbers: [1, 74]
Generated Node #3: [1, 74] from Operation: 53+21=74
Current State: 75:[1, 74], Operations: ['30-29=1', '53+21=74']
Exploring Operation: 1+74=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
4,
32,
33,
84
] | 20 | [
"84/4=21",
"33-32=1",
"21-1=20"
] | Current State: 20:[4, 32, 33, 84], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [32, 33, 21]
Generated Node #2: [32, 33, 21] from Operation: 84/4=21
Current State: 20:[32, 33, 21], Operations: ['84/4=21']
Exploring Operation: 33-32=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 33-32=1
Current State: 20:[21, 1], Operations: ['84/4=21', '33-32=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
19,
60,
38,
7
] | 12 | [
"38/19=2",
"7-2=5",
"60/5=12"
] | Current State: 12:[19, 60, 38, 7], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [60, 7, 2]
Generated Node #2: [60, 7, 2] from Operation: 38/19=2
Current State: 12:[60, 7, 2], Operations: ['38/19=2']
Exploring Operation: 7-2=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 7-2=5
Current State: 12:[60, 5], Operations: ['38/19=2', '7-2=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
25,
32,
68,
85
] | 89 | [
"32+68=100",
"100/25=4",
"85+4=89"
] | Current State: 89:[25, 32, 68, 85], Operations: []
Exploring Operation: 32+68=100, Resulting Numbers: [25, 85, 100]
Generated Node #2: [25, 85, 100] from Operation: 32+68=100
Current State: 89:[25, 85, 100], Operations: ['32+68=100']
Exploring Operation: 100/25=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 100/25=4
Current State: 89:[85, 4], Operations: ['32+68=100', '100/25=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
13,
36,
22,
52
] | 19 | [
"13+36=49",
"52-22=30",
"49-30=19"
] | Current State: 19:[13, 36, 22, 52], Operations: []
Exploring Operation: 13+36=49, Resulting Numbers: [22, 52, 49]
Generated Node #2: [22, 52, 49] from Operation: 13+36=49
Current State: 19:[22, 52, 49], Operations: ['13+36=49']
Exploring Operation: 52-22=30, Resulting Numbers: [49, 30]
Generated Node #3: [49, 30] from Operation: 52-22=30
Current State: 19:[49, 30], Operations: ['13+36=49', '52-22=30']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
27,
89,
30,
41
] | 34 | [
"30-27=3",
"41*3=123",
"123-89=34"
] | Current State: 34:[27, 89, 30, 41], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [89, 41, 3]
Generated Node #2: [89, 41, 3] from Operation: 30-27=3
Current State: 34:[89, 41, 3], Operations: ['30-27=3']
Exploring Operation: 41*3=123, Resulting Numbers: [89, 123]
Generated Node #3: [89, 123] from Operation: 41*3=123
Current State: 34:[89, 123], Operations: ['30-27=3', '41*3=123']
Exploring Operation: 123-89=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
53,
13,
11,
61
] | 45 | [
"13-11=2",
"53*2=106",
"106-61=45"
] | Current State: 45:[53, 13, 11, 61], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [53, 61, 2]
Generated Node #2: [53, 61, 2] from Operation: 13-11=2
Current State: 45:[53, 61, 2], Operations: ['13-11=2']
Exploring Operation: 53*2=106, Resulting Numbers: [61, 106]
Generated Node #3: [61, 106] from Operation: 53*2=106
Current State: 45:[61, 106], Operations: ['13-11=2', '53*2=106']
Exploring Operation: 106-61=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
7,
80,
34,
40
] | 80 | [
"7+34=41",
"41-40=1",
"80*1=80"
] | Current State: 80:[7, 80, 34, 40], Operations: []
Exploring Operation: 7+34=41, Resulting Numbers: [80, 40, 41]
Generated Node #2: [80, 40, 41] from Operation: 7+34=41
Current State: 80:[80, 40, 41], Operations: ['7+34=41']
Exploring Operation: 41-40=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 41-40=1
Current State: 80:[80, 1], Operations: ['7+34=41', '41-40=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
13,
22,
98,
53
] | 10 | [
"13+22=35",
"98-53=45",
"45-35=10"
] | Current State: 10:[13, 22, 98, 53], Operations: []
Exploring Operation: 13+22=35, Resulting Numbers: [98, 53, 35]
Generated Node #2: [98, 53, 35] from Operation: 13+22=35
Current State: 10:[98, 53, 35], Operations: ['13+22=35']
Exploring Operation: 98-53=45, Resulting Numbers: [35, 45]
Generated Node #3: [35, 45] from Operation: 98-53=45
Current State: 10:[35, 45], Operations: ['13+22=35', '98-53=45']
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
31,
80,
60,
83
] | 72 | [
"80-31=49",
"83-60=23",
"49+23=72"
] | Current State: 72:[31, 80, 60, 83], Operations: []
Exploring Operation: 80-31=49, Resulting Numbers: [60, 83, 49]
Generated Node #2: [60, 83, 49] from Operation: 80-31=49
Current State: 72:[60, 83, 49], Operations: ['80-31=49']
Exploring Operation: 83-60=23, Resulting Numbers: [49, 23]
Generated Node #3: [49, 23] from Operation: 83-60=23
Current State: 72:[49, 23], Operations: ['80-31=49', '83-60=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
22,
12,
53
] | 24 | [
"43+22=65",
"53-12=41",
"65-41=24"
] | Current State: 24:[43, 22, 12, 53], Operations: []
Exploring Operation: 43+22=65, Resulting Numbers: [12, 53, 65]
Generated Node #2: [12, 53, 65] from Operation: 43+22=65
Current State: 24:[12, 53, 65], Operations: ['43+22=65']
Exploring Operation: 53-12=41, Resulting Numbers: [65, 41]
Generated Node #3: [65, 41] from Operation: 53-12=41
Current State: 24:[65, 41], Operations: ['43+22=65', '53-12=41']
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
25,
63,
12,
84
] | 41 | [
"12*84=1008",
"1008/63=16",
"25+16=41"
] | Current State: 41:[25, 63, 12, 84], Operations: []
Exploring Operation: 12*84=1008, Resulting Numbers: [25, 63, 1008]
Generated Node #2: [25, 63, 1008] from Operation: 12*84=1008
Current State: 41:[25, 63, 1008], Operations: ['12*84=1008']
Exploring Operation: 1008/63=16, Resulting Numbers: [25, 16]
Generated Node #3: [25, 16] from Operation: 1008/63=16
Current State: 41:[25, 16], Operations: ['12*84=1008', '1008/63=16']
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
28,
68,
99,
14
] | 33 | [
"28/14=2",
"99-68=31",
"2+31=33"
] | Current State: 33:[28, 68, 99, 14], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [68, 99, 2]
Generated Node #2: [68, 99, 2] from Operation: 28/14=2
Current State: 33:[68, 99, 2], Operations: ['28/14=2']
Exploring Operation: 99-68=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 99-68=31
Current State: 33:[2, 31], Operations: ['28/14=2', '99-68=31']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
37,
67,
10,
34
] | 37 | [
"67-37=30",
"30/10=3",
"34+3=37"
] | Current State: 37:[37, 67, 10, 34], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [10, 34, 30]
Generated Node #2: [10, 34, 30] from Operation: 67-37=30
Current State: 37:[10, 34, 30], Operations: ['67-37=30']
Exploring Operation: 30/10=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 30/10=3
Current State: 37:[34, 3], Operations: ['67-37=30', '30/10=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
72,
8,
82,
36
] | 98 | [
"72*8=576",
"576/36=16",
"82+16=98"
] | Current State: 98:[72, 8, 82, 36], Operations: []
Exploring Operation: 72*8=576, Resulting Numbers: [82, 36, 576]
Generated Node #2: [82, 36, 576] from Operation: 72*8=576
Current State: 98:[82, 36, 576], Operations: ['72*8=576']
Exploring Operation: 576/36=16, Resulting Numbers: [82, 16]
Generated Node #3: [82, 16] from Operation: 576/36=16
Current State: 98:[82, 16], Operations: ['72*8=576', '576/36=16']
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
5,
24,
3,
43
] | 27 | [
"24-5=19",
"3+43=46",
"46-19=27"
] | Current State: 27:[5, 24, 3, 43], Operations: []
Exploring Operation: 24-5=19, Resulting Numbers: [3, 43, 19]
Generated Node #2: [3, 43, 19] from Operation: 24-5=19
Current State: 27:[3, 43, 19], Operations: ['24-5=19']
Exploring Operation: 3+43=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 3+43=46
Current State: 27:[19, 46], Operations: ['24-5=19', '3+43=46']
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
95,
50,
31,
70
] | 56 | [
"95-50=45",
"31+70=101",
"101-45=56"
] | Current State: 56:[95, 50, 31, 70], Operations: []
Exploring Operation: 95-50=45, Resulting Numbers: [31, 70, 45]
Generated Node #2: [31, 70, 45] from Operation: 95-50=45
Current State: 56:[31, 70, 45], Operations: ['95-50=45']
Exploring Operation: 31+70=101, Resulting Numbers: [45, 101]
Generated Node #3: [45, 101] from Operation: 31+70=101
Current State: 56:[45, 101], Operations: ['95-50=45', '31+70=101']
Exploring Operation: 101-45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
33,
26,
29,
58
] | 47 | [
"29-26=3",
"33/3=11",
"58-11=47"
] | Current State: 47:[33, 26, 29, 58], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [33, 58, 3]
Generated Node #2: [33, 58, 3] from Operation: 29-26=3
Current State: 47:[33, 58, 3], Operations: ['29-26=3']
Exploring Operation: 33/3=11, Resulting Numbers: [58, 11]
Generated Node #3: [58, 11] from Operation: 33/3=11
Current State: 47:[58, 11], Operations: ['29-26=3', '33/3=11']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
38,
52,
4,
32
] | 43 | [
"52-32=20",
"20/4=5",
"38+5=43"
] | Current State: 43:[38, 52, 4, 32], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [38, 4, 20]
Generated Node #2: [38, 4, 20] from Operation: 52-32=20
Current State: 43:[38, 4, 20], Operations: ['52-32=20']
Exploring Operation: 20/4=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 20/4=5
Current State: 43:[38, 5], Operations: ['52-32=20', '20/4=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
26,
34,
35,
66
] | 39 | [
"34-26=8",
"66-35=31",
"8+31=39"
] | Current State: 39:[26, 34, 35, 66], Operations: []
Exploring Operation: 34-26=8, Resulting Numbers: [35, 66, 8]
Generated Node #2: [35, 66, 8] from Operation: 34-26=8
Current State: 39:[35, 66, 8], Operations: ['34-26=8']
Exploring Operation: 66-35=31, Resulting Numbers: [8, 31]
Generated Node #3: [8, 31] from Operation: 66-35=31
Current State: 39:[8, 31], Operations: ['34-26=8', '66-35=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
12,
82,
36,
85
] | 72 | [
"36-12=24",
"85-82=3",
"24*3=72"
] | Current State: 72:[12, 82, 36, 85], Operations: []
Exploring Operation: 36-12=24, Resulting Numbers: [82, 85, 24]
Generated Node #2: [82, 85, 24] from Operation: 36-12=24
Current State: 72:[82, 85, 24], Operations: ['36-12=24']
Exploring Operation: 85-82=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 85-82=3
Current State: 72:[24, 3], Operations: ['36-12=24', '85-82=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
78,
59,
77,
38
] | 61 | [
"77-38=39",
"78/39=2",
"59+2=61"
] | Current State: 61:[78, 59, 77, 38], Operations: []
Exploring Operation: 77-38=39, Resulting Numbers: [78, 59, 39]
Generated Node #2: [78, 59, 39] from Operation: 77-38=39
Current State: 61:[78, 59, 39], Operations: ['77-38=39']
Exploring Operation: 78/39=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 78/39=2
Current State: 61:[59, 2], Operations: ['77-38=39', '78/39=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
40,
90,
81
] | 94 | [
"45+40=85",
"90-81=9",
"85+9=94"
] | Current State: 94:[45, 40, 90, 81], Operations: []
Exploring Operation: 45+40=85, Resulting Numbers: [90, 81, 85]
Generated Node #2: [90, 81, 85] from Operation: 45+40=85
Current State: 94:[90, 81, 85], Operations: ['45+40=85']
Exploring Operation: 90-81=9, Resulting Numbers: [85, 9]
Generated Node #3: [85, 9] from Operation: 90-81=9
Current State: 94:[85, 9], Operations: ['45+40=85', '90-81=9']
Exploring Operation: 85+9=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
98,
4,
99,
13
] | 16 | [
"98+4=102",
"99-13=86",
"102-86=16"
] | Current State: 16:[98, 4, 99, 13], Operations: []
Exploring Operation: 98+4=102, Resulting Numbers: [99, 13, 102]
Generated Node #2: [99, 13, 102] from Operation: 98+4=102
Current State: 16:[99, 13, 102], Operations: ['98+4=102']
Exploring Operation: 99-13=86, Resulting Numbers: [102, 86]
Generated Node #3: [102, 86] from Operation: 99-13=86
Current State: 16:[102, 86], Operations: ['98+4=102', '99-13=86']
Exploring Operation: 102-86=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
70,
78,
77,
10
] | 61 | [
"70+78=148",
"77+10=87",
"148-87=61"
] | Current State: 61:[70, 78, 77, 10], Operations: []
Exploring Operation: 70+78=148, Resulting Numbers: [77, 10, 148]
Generated Node #2: [77, 10, 148] from Operation: 70+78=148
Current State: 61:[77, 10, 148], Operations: ['70+78=148']
Exploring Operation: 77+10=87, Resulting Numbers: [148, 87]
Generated Node #3: [148, 87] from Operation: 77+10=87
Current State: 61:[148, 87], Operations: ['70+78=148', '77+10=87']
Exploring Operation: 148-87=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
66,
42,
60,
7
] | 77 | [
"66-42=24",
"60-7=53",
"24+53=77"
] | Current State: 77:[66, 42, 60, 7], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [60, 7, 24]
Generated Node #2: [60, 7, 24] from Operation: 66-42=24
Current State: 77:[60, 7, 24], Operations: ['66-42=24']
Exploring Operation: 60-7=53, Resulting Numbers: [24, 53]
Generated Node #3: [24, 53] from Operation: 60-7=53
Current State: 77:[24, 53], Operations: ['66-42=24', '60-7=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
48,
57,
53,
17
] | 27 | [
"57-48=9",
"53-17=36",
"36-9=27"
] | Current State: 27:[48, 57, 53, 17], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [53, 17, 9]
Generated Node #2: [53, 17, 9] from Operation: 57-48=9
Current State: 27:[53, 17, 9], Operations: ['57-48=9']
Exploring Operation: 53-17=36, Resulting Numbers: [9, 36]
Generated Node #3: [9, 36] from Operation: 53-17=36
Current State: 27:[9, 36], Operations: ['57-48=9', '53-17=36']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
12,
47,
54,
10
] | 15 | [
"12+47=59",
"54-10=44",
"59-44=15"
] | Current State: 15:[12, 47, 54, 10], Operations: []
Exploring Operation: 12+47=59, Resulting Numbers: [54, 10, 59]
Generated Node #2: [54, 10, 59] from Operation: 12+47=59
Current State: 15:[54, 10, 59], Operations: ['12+47=59']
Exploring Operation: 54-10=44, Resulting Numbers: [59, 44]
Generated Node #3: [59, 44] from Operation: 54-10=44
Current State: 15:[59, 44], Operations: ['12+47=59', '54-10=44']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
18,
77,
58,
8
] | 29 | [
"18+77=95",
"58+8=66",
"95-66=29"
] | Current State: 29:[18, 77, 58, 8], Operations: []
Exploring Operation: 18+77=95, Resulting Numbers: [58, 8, 95]
Generated Node #2: [58, 8, 95] from Operation: 18+77=95
Current State: 29:[58, 8, 95], Operations: ['18+77=95']
Exploring Operation: 58+8=66, Resulting Numbers: [95, 66]
Generated Node #3: [95, 66] from Operation: 58+8=66
Current State: 29:[95, 66], Operations: ['18+77=95', '58+8=66']
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
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