|
8 | 8 | // option. This file may not be copied, modified, or distributed
|
9 | 9 | // except according to those terms.
|
10 | 10 |
|
11 |
| -use std::os; |
| 11 | +use std::cmp::max; |
12 | 12 |
|
13 |
| -fn max(a: i32, b: i32) -> i32 { |
14 |
| - if a > b { |
15 |
| - a |
16 |
| - } else { |
17 |
| - b |
18 |
| - } |
| 13 | +fn fact(n: uint) -> uint { |
| 14 | + range(1, n + 1).fold(1, |accu, i| accu * i) |
19 | 15 | }
|
20 | 16 |
|
21 |
| -fn fannkuch_redux(n: i32) -> i32 { |
22 |
| - let mut perm = Vec::from_elem(n as uint, 0i32); |
23 |
| - let mut perm1 = Vec::from_fn(n as uint, |i| i as i32); |
24 |
| - let mut count = Vec::from_elem(n as uint, 0i32); |
25 |
| - let mut max_flips_count = 0i32; |
26 |
| - let mut perm_count = 0i32; |
27 |
| - let mut checksum = 0i32; |
28 |
| - |
29 |
| - let perm = perm.as_mut_slice(); |
30 |
| - let perm1 = perm1.as_mut_slice(); |
31 |
| - let count = count.as_mut_slice(); |
32 |
| - |
33 |
| - let mut r = n; |
34 |
| - loop { |
35 |
| - while r != 1 { |
36 |
| - count[r as uint - 1] = r; |
37 |
| - r -= 1; |
38 |
| - } |
39 |
| - |
40 |
| - for (perm_i, perm1_i) in perm.mut_iter().zip(perm1.iter()) { |
41 |
| - *perm_i = *perm1_i; |
42 |
| - } |
| 17 | +fn fannkuch(n: uint, i: uint) -> (int, int) { |
| 18 | + let mut perm = Vec::from_fn(n, |e| ((n + e - i) % n + 1) as i32); |
| 19 | + let mut tperm = perm.clone(); |
| 20 | + let mut count = Vec::from_elem(n, 0u); |
| 21 | + let mut perm_count = 0; |
| 22 | + let mut checksum = 0; |
43 | 23 |
|
44 |
| - let mut flips_count: i32 = 0; |
45 |
| - let mut k: i32; |
46 |
| - loop { |
47 |
| - k = perm[0]; |
48 |
| - if k == 0 { |
49 |
| - break; |
| 24 | + for countdown in range(1, fact(n - 1) + 1).rev() { |
| 25 | + for i in range(1, n) { |
| 26 | + let perm0 = *perm.get(0); |
| 27 | + for j in range(0, i) { |
| 28 | + *perm.get_mut(j) = *perm.get(j + 1); |
50 | 29 | }
|
| 30 | + *perm.get_mut(i) = perm0; |
51 | 31 |
|
52 |
| - let k2 = (k+1) >> 1; |
53 |
| - for i in range(0i32, k2) { |
54 |
| - perm.swap(i as uint, (k - i) as uint); |
| 32 | + let count_i = count.get_mut(i); |
| 33 | + if *count_i >= i { |
| 34 | + *count_i = 0; |
| 35 | + } else { |
| 36 | + *count_i += 1; |
| 37 | + break; |
55 | 38 | }
|
56 |
| - flips_count += 1; |
57 | 39 | }
|
58 | 40 |
|
59 |
| - max_flips_count = max(max_flips_count, flips_count); |
60 |
| - checksum += if perm_count % 2 == 0 { |
61 |
| - flips_count |
62 |
| - } else { |
63 |
| - -flips_count |
64 |
| - }; |
65 |
| - |
66 |
| - // Use incremental change to generate another permutation. |
| 41 | + tperm.clone_from(&perm); |
| 42 | + let mut flips_count = 0; |
67 | 43 | loop {
|
68 |
| - if r == n { |
69 |
| - println!("{}", checksum); |
70 |
| - return max_flips_count; |
71 |
| - } |
72 |
| - |
73 |
| - let perm0 = perm1[0]; |
74 |
| - let mut i: i32 = 0; |
75 |
| - while i < r { |
76 |
| - let j = i + 1; |
77 |
| - perm1[i as uint] = perm1[j as uint]; |
78 |
| - i = j; |
79 |
| - } |
80 |
| - perm1[r as uint] = perm0; |
81 |
| - |
82 |
| - count[r as uint] -= 1; |
83 |
| - if count[r as uint] > 0 { |
84 |
| - break; |
85 |
| - } |
86 |
| - r += 1; |
| 44 | + let k = *tperm.get(0); |
| 45 | + if k == 1 { break; } |
| 46 | + tperm.mut_slice_to(k as uint).reverse(); |
| 47 | + flips_count += 1; |
87 | 48 | }
|
88 |
| - |
89 |
| - perm_count += 1; |
| 49 | + perm_count = max(perm_count, flips_count); |
| 50 | + checksum += if countdown & 1 == 1 {flips_count} else {-flips_count} |
90 | 51 | }
|
| 52 | + (checksum, perm_count) |
91 | 53 | }
|
92 | 54 |
|
93 | 55 | fn main() {
|
94 |
| - let args = os::args(); |
95 |
| - let n = if args.len() > 1 { |
96 |
| - from_str::<i32>(args[1]).unwrap() |
97 |
| - } else { |
98 |
| - 2 |
99 |
| - }; |
100 |
| - println!("Pfannkuchen({}) = {}", n as int, fannkuch_redux(n) as int); |
| 56 | + let n = std::os::args().get(1).and_then(|arg| from_str(*arg)).unwrap_or(2u); |
| 57 | + |
| 58 | + let (tx, rx) = channel(); |
| 59 | + for i in range(0, n) { |
| 60 | + let tx = tx.clone(); |
| 61 | + spawn(proc() tx.send(fannkuch(n, i))); |
| 62 | + } |
| 63 | + drop(tx); |
| 64 | + |
| 65 | + let mut checksum = 0; |
| 66 | + let mut perm = 0; |
| 67 | + for (cur_cks, cur_perm) in rx.iter() { |
| 68 | + checksum += cur_cks; |
| 69 | + perm = max(perm, cur_perm); |
| 70 | + } |
| 71 | + println!("{}\nPfannkuchen({}) = {}", checksum, n, perm); |
101 | 72 | }
|
0 commit comments