From e3ee2b26751738613328df3bb9b7a351e2a49642 Mon Sep 17 00:00:00 2001
From: Kayla <golderkayla@gmail.com>
Date: Thu, 1 Oct 2020 21:38:52 -0400
Subject: [PATCH] add Number of Islands

---
 Graphs/NumberOfIslands.js | 85 +++++++++++++++++++++++++++++++++++++++
 1 file changed, 85 insertions(+)
 create mode 100644 Graphs/NumberOfIslands.js

diff --git a/Graphs/NumberOfIslands.js b/Graphs/NumberOfIslands.js
new file mode 100644
index 000000000..72e6fc96a
--- /dev/null
+++ b/Graphs/NumberOfIslands.js
@@ -0,0 +1,85 @@
+/* Number of Islands
+Given a 2d grid map of '1's (land) and '0's (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.
+
+two a dimensial grid map
+each element is going to represent a peice of land
+1 is land,
+0 is water
+output a number which is the number of islands
+
+Example 1:
+  Input:
+  11110
+  11010
+  11000
+  00000
+
+  Output: 1
+
+Example 2:
+  Input:
+  11000
+  11000
+  00100
+  00011
+
+  Output: 3
+
+I: two dimensional array
+O: a single integer; total number of islands
+
+Pseudocode:
+  OUTER FUNCTION
+    set count to 0
+
+    INNER FUNCTION - flood (col, row)
+      if the tile is water
+        return
+      make tile water(flood tile)
+      invoke flood on the neighbor coordinates
+
+    iterate over the matrix (col, row)
+      if the current element is a 1
+        increment count
+        invoke flood (coordinates for col and row)
+
+    Return the count
+*/
+const grid = [
+  ['1', '1', '0', '0', '0'],
+  ['1', '1', '0', '0', '0'],
+  ['0', '0', '1', '0', '0'],
+  ['0', '0', '0', '1', '1'],
+];
+
+const islands = (matrixGrid) => {
+  const matrix = matrixGrid;
+  let counter = 0;
+
+  const flood = (row, col) => {
+    if (row < 0 || col < 0) return; // Off the map above or left
+    if (row >= matrix.length || col >= matrix[row].length) return; // Off the map below or right
+
+    const tile = matrix[row][col];
+    if (tile !== '1') return;
+
+    matrix[row][col] = '0';
+
+    flood(row + 1, col); // Down
+    flood(row - 1, col); // Up
+    flood(row, col + 1); // Right
+    flood(row, col - 1); // Left
+  };
+
+  for (let row = 0; row < matrix.length; row += 1) {
+    for (let col = 0; col < matrix[row].length; col += 1) {
+      const current = matrix[row][col];
+      if (current === '1') {
+        flood(row, col);
+        counter += 1;
+      }
+    }
+  }
+  return counter;
+};
+