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Exercise 5

Bottom-up: Finally, write the solution code for "Chaos in the Grid with Cats" using a bottom-up approach.

Solution

function chaosInTheGridWithCats(grid) {
  const rows = grid.length;
  const cols = grid[0].length;

  const dp = new Array(rows).fill().map(() => new Array(cols).fill(0));

  for (let row = 0; row < rows; row++) {
    for (let col = 0; col < cols; col++) {
      if (grid[row][col] === "C") {
        dp[row][col] = 0;
      } else if (row === 0 && col === 0) {
        dp[row][col] = 1;
      } else {
        let fromTop = row > 0 ? dp[row - 1][col] : 0;
        let fromLeft = col > 0 ? dp[row][col - 1] : 0;
        dp[row][col] = fromTop + fromLeft;
      }
    }
  }

  return dp[rows - 1][cols - 1];
}

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