[paiza]島流しにしてやろうか（島探し (paizaランク S 相当)

コードの指摘は受ける

ネガティブな批判を相手のことを何も考えずにしちゃう人って何なんだろうね？
きっと頭と心が残念なのかな？（特大ブーメラン

面倒くさいので画面パタメータをListでもらった後のFunctionだけ

ちなみに引数のListを作ってる箇所はこっちの記事に書いてあるYO!!

解き方2つ

今回はちょっと調べながらやってみて、
データ量によってスタックオーバーフローで実行できない可能性のあるコードと
多分実行できるであろうコードの2つを書いてみたよ。
※例題の2つはどっちのコードでも動いたけど、100 * 100とか1000 * 1000だと、どうなるかわからないのでこの記事を投稿した後にテストしてみてって感じかな
※ちなみに凄い単純な500 * 500は問題なく動いた（パラメータ例有り

1：深さ優先探索 (DFS)

グリッド上で隣接する「1」の塊を数えることで、島の数を特定するアレ
要はループで最初に島を見つけたら、その上下左右のグリッドを再帰的に調べて隣接する島があったら、沈めていくという感じです。
→島を見つけながら沈めていくというサイコパスみたいな実装をする感じ

searchIslandDFS.js

// [問題文（原文）]
// 列の数がM、行の数がNの表があります。表の各マスは白か黒で塗られています。
// 黒で塗られたマスが上下左右で隣接している時、その黒マスの塊をまとめて「島」と呼びます。
// 例えば、以下のような4列×5行の表（M=4、N=5）があった場合、
// この表には以下の(1)～(3)のように3つの島が存在します。
// 島の数を計算して出力するプログラムを作成して下さい。
function searchIslandDFS(lines) {
  // 入力される値
  // 1行目には、列の数Mと行の数Nがスペース区切りで入力されます。
  // 2行目以降のN行には、スペース区切りでM個の数字が入力されます。 各行は'0'が白、'1'が黒のマスをそれぞれ表します。
  // 10個のテストケースの内、8個のテストケースにおいて以下の条件を満たします。
  // 1 ≦ N,M ≦ 100
  // 
  // 10個のテストケースの内、全てのテストケースにおいて以下の条件を満たします。
  // 1 ≦ N,M ≦ 1,000
  const [N, M] = lines[0].split(" ").map(v => Number(v));
  console.log(countIslands(lines.slice(1).map(v => v.split(" ").map(vv => Number(vv))), M, N));
}

function countIslands(grid, rows, cols) {
  let count = 0;

  const dfs = (i, j) => {
    // グリッドの範囲外や海 (0) に到達した場合、終了
    if (i < 0 || i >= rows || j < 0 || j >= cols || grid[i][j] === 0) {
      return;
    }

    // 現在のセルを訪問済みに（撃沈）する
    grid[i][j] = 0;

    // 上下左右の4方向に探索
    dfs(i - 1, j); // 上
    dfs(i + 1, j); // 下
    dfs(i, j - 1); // 左
    dfs(i, j + 1); // 右
  }

  grid.forEach((r, i) => {
    r.forEach((_, j) => {
      if (grid[i][j] === 1) {
        // 島が見つかったのでカウント
        count++;
        // 島を探索して訪問済みに（撃沈）する
        dfs(i, j);
      }
    });
  });

  return count;
}

module.exports = {
  searchIslandDFS
};

2：Union-Find（DSU）

Union-Find（Disjoint Set Union、DSU）とは、要素のグループ化を効率的に行うためのデータ構造。
特定の要素がどのグループに属しているかを管理し、異なるグループを統合する操作も効率的に行えるらしいよ。

searchIslandUSD.js

// [問題文（原文）]
// 列の数がM、行の数がNの表があります。表の各マスは白か黒で塗られています。
// 黒で塗られたマスが上下左右で隣接している時、その黒マスの塊をまとめて「島」と呼びます。
// 例えば、以下のような4列×5行の表（M=4、N=5）があった場合、
// この表には以下の(1)～(3)のように3つの島が存在します。
// 島の数を計算して出力するプログラムを作成して下さい。
function searchIslandUSD(lines) {
  // 入力される値
  // 1行目には、列の数Mと行の数Nがスペース区切りで入力されます。
  // 2行目以降のN行には、スペース区切りでM個の数字が入力されます。 各行は'0'が白、1が黒のマスをそれぞれ表します。
  // 10個のテストケースの内、8個のテストケースにおいて以下の条件を満たします。
  // 1 ≦ N,M ≦ 100
  // 
  // 10個のテストケースの内、全てのテストケースにおいて以下の条件を満たします。
  // 1 ≦ N,M ≦ 1,000
  const [N, M] = lines[0].split(" ").map(v => Number(v));
  console.log(countIslands(lines.slice(1).map(v => v.split(" ").map(vv => Number(vv))), M, N));
}

function countIslands(grid, rows, cols) {
  const uf = new UnionFind(rows * cols);
  const getIndex = (r, c) => r * cols + c;
  for (let r = 0; r < rows; r++) {
    for (let c = 0; c < cols; c++) {
      // 島が見つかった場合
      if (grid[r][c] === 1) {
        if (r > 0 && grid[r - 1][c] === 1) {
          uf.union(getIndex(r, c), getIndex(r - 1, c));
        }
        if (c > 0 && grid[r][c - 1] === 1) {
          uf.union(getIndex(r, c), getIndex(r, c - 1));
        }
      }
    }
  }

  const uniqueIslands = new Set();
  for (let r = 0; r < rows; r++) {
    for (let c = 0; c < cols; c++) {
      if (grid[r][c] === 1) {
        uniqueIslands.add(uf.find(getIndex(r, c)));
      }
    }
  }

  return uniqueIslands.size
}

class UnionFind {
  constructor(size) {
    this.parent = Array.from({ length: size }, (_, i) => i);  // 各要素の親を自身に設定
    this.rank = Array(size).fill(0);  // 各要素のランク（初期は0）
  }

  // ある要素がどのグループに属しているかを探す
  find(x) {
    if (this.parent[x] !== x) {
      // 経路圧縮(ツリーの高さを低くすることで、次回以降のfind操作を高速化)
      this.parent[x] = this.find(this.parent[x]);  
    }
    return this.parent[x];
  }

  // 2つの異なるグループを1つに統合
  union(x, y) {
    const rootX = this.find(x);
    const rootY = this.find(y);

    if (rootX !== rootY) {
      // ランクが低い方の木をランクが高い方の木に繋げる
      if (this.rank[rootX] > this.rank[rootY]) {
        this.parent[rootY] = rootX;
      } else if (this.rank[rootX] < this.rank[rootY]) {
        this.parent[rootX] = rootY;
      } else {
        this.parent[rootY] = rootX;
        this.rank[rootX]++;  // 同じランクの場合、片方のランクを1つ上げる
      }
    }
  }
}


module.exports = {
  searchIslandUSD
};

例以外の試したパラメータ

0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0
...
みたいな、クソ単純なケースで500 * 500で動かした時のパラメータを残しておきます。
ちなみにどっちのコードでも問題なく動かせられました。
※データが単純だからって言う気もする

500 * 500パラメータ

500 * 500(5 * 5の島が交互にあるイメージ)

500 500
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【最重要】カナヘビ育て始めました

こんな問題よりも大事なお知らせ!!
たまたま庭にやってきたバブカナちゃんを、拉t捕獲して、洗の・調きょ飼育しだしました。
名前は【ドラチャン】さん（♀）で、立派なドラゴンになって飛びだってしまうその日までシッカリ育成してみようかと。
※【ドラクン】さん（♂）が早く見つかって、カナヘビブリーダーになりた