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Release 0.1.0
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name = "lctree" | ||
version = "0.1.0" | ||
edition = "2021" | ||
rust-version = "1.66" | ||
readme = "README.md" | ||
license = "Apache-2.0" | ||
keywords = ["tree", "dynamic-connectivity"] | ||
categories = ["algorithms", "data-structures"] | ||
authors = ["Kayumov A.I. <[email protected]>"] | ||
exclude = ["./github"] | ||
description = "Rust implementation of Link-Cut-Tree: self-balancing data structure to maintain a forest of rooted trees." | ||
repository = "https://github.com/azizkayumov/lctree" | ||
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# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html | ||
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[![GitHub Workflow Status](https://img.shields.io/github/actions/workflow/status/azizkayumov/lctree/ci.yml?style=plastic)](#) | ||
[![crates.io](https://img.shields.io/crates/v/lctree)](https://crates.io/crates/lctree) | ||
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# lctree | ||
Rust implementation of [Link-Cut-Tree](https://dl.acm.org/doi/10.1145/253262.253347](https://dl.acm.org/doi/pdf/10.1145/800076.802464)): self-balancing data structure to maintain a forest of rooted trees. | ||
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## Example | ||
This example shows how to link and cut edges: | ||
```rust | ||
use srtree::SRTree; | ||
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fn main() { | ||
// We form a link-cut tree from a rooted tree with the following structure: | ||
// 0 | ||
// / \ | ||
// 1 4 | ||
// / \ \ | ||
// 2 3 5 | ||
// / | ||
// 6 | ||
let mut lctree = super::LinkCutTree::new(7); | ||
lctree.link(1, 0); | ||
lctree.link(2, 1); | ||
lctree.link(3, 1); | ||
lctree.link(4, 0); | ||
lctree.link(5, 4); | ||
lctree.link(6, 5); | ||
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// Checking connectivity: | ||
for i in 0..7 { | ||
for j in 0..7 { | ||
assert!(lctree.connected(i, j)); | ||
} | ||
} | ||
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// We cut node 4 from its parent 0: | ||
lctree.cut(4, 0); | ||
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// The forest should now look like this: | ||
// 0 | ||
// / | ||
// 1 4 | ||
// / \ \ | ||
// 2 3 5 | ||
// / | ||
// 6 | ||
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// We check connectivity again for the two trees: | ||
for i in 0..4 { | ||
for j in 0..4 { | ||
assert!(lctree.connected(i, j)); | ||
} | ||
} | ||
for i in 4..7 { | ||
for j in 4..7 { | ||
assert!(lctree.connected(i, j)); | ||
} | ||
} | ||
for i in 0..4 { | ||
for j in 4..7 { | ||
assert!(!lctree.connected(i, j)); | ||
} | ||
} | ||
} | ||
``` | ||
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## License | ||
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Copyright 2019-2024 Kayumov Abduaziz. | ||
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Licensed under [Apache License, Version 2.0][apache-license] (the "License"); | ||
you may not use this crate except in compliance with the License. | ||
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Unless required by applicable law or agreed to in writing, software distributed | ||
under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR | ||
CONDITIONS OF ANY KIND, either express or implied. See [LICENSE](LICENSE) for | ||
the specific language governing permissions and limitations under the License. | ||
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## Contribution | ||
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Unless you explicitly state otherwise, any contribution intentionally submitted | ||
for inclusion in the work by you, as defined in the [Apache-2.0 | ||
license][apache-license], shall be licensed as above, without any additional | ||
terms or conditions. | ||
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[apache-license]: http://www.apache.org/licenses/LICENSE-2.0 |