2011-06-15 13:19:50 -05:00
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use std;
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2011-12-13 18:25:51 -06:00
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import int;
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2011-03-13 17:43:39 -05:00
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2012-01-14 19:02:49 -06:00
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tag tree { nil; node(~tree, ~tree, int); }
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2010-06-23 23:03:09 -05:00
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2012-01-14 19:02:49 -06:00
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fn item_check(t: ~tree) -> int {
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2011-07-27 07:19:39 -05:00
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alt *t {
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nil. { ret 0; }
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node(left, right, item) {
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ret item + item_check(left) - item_check(right);
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}
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2010-06-23 23:03:09 -05:00
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}
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}
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2012-01-14 19:02:49 -06:00
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fn bottom_up_tree(item: int, depth: int) -> ~tree {
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2011-07-27 07:19:39 -05:00
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if depth > 0 {
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2012-01-14 19:02:49 -06:00
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ret ~node(bottom_up_tree(2 * item - 1, depth - 1),
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2011-06-15 13:19:50 -05:00
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bottom_up_tree(2 * item, depth - 1), item);
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2012-01-14 19:02:49 -06:00
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} else { ret ~nil; }
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2011-03-13 17:43:39 -05:00
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}
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2012-01-14 21:50:23 -06:00
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fn main(args: [str]) {
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let n = if vec::len(args) == 2u {
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int::from_str(args[1])
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} else {
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2012-01-14 22:34:00 -06:00
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8
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2012-01-14 21:50:23 -06:00
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};
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2011-07-27 07:19:39 -05:00
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let min_depth = 4;
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let max_depth;
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if min_depth + 2 > n {
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2011-06-15 13:19:50 -05:00
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max_depth = min_depth + 2;
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} else { max_depth = n; }
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2011-07-27 07:19:39 -05:00
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let stretch_depth = max_depth + 1;
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let stretch_tree = bottom_up_tree(0, stretch_depth);
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2012-01-14 21:50:23 -06:00
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std::io::println(#fmt("stretch tree of depth %d\t check: %d",
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stretch_depth,
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item_check(stretch_tree)));
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2011-07-27 07:19:39 -05:00
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let long_lived_tree = bottom_up_tree(0, max_depth);
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let depth = min_depth;
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while depth <= max_depth {
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let iterations = int::pow(2, max_depth - depth + min_depth as uint);
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let chk = 0;
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let i = 1;
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while i <= iterations {
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let temp_tree = bottom_up_tree(i, depth);
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2011-06-15 13:19:50 -05:00
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chk += item_check(temp_tree);
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temp_tree = bottom_up_tree(-i, depth);
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chk += item_check(temp_tree);
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i += 1;
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}
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2012-01-14 21:50:23 -06:00
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std::io::println(#fmt("%d\t trees of depth %d\t check: %d",
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iterations * 2, depth,
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chk));
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2011-06-15 13:19:50 -05:00
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depth += 2;
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2011-03-13 17:43:39 -05:00
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}
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2012-01-14 21:50:23 -06:00
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std::io::println(#fmt("long lived trees of depth %d\t check: %d",
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max_depth,
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item_check(long_lived_tree)));
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2011-08-19 17:16:48 -05:00
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}
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