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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 | } |
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