// Compute the edit distance between the two given strings
function getEditDistance(sourceString, targetString) {
    if (sourceString.length === 0) return targetString.length;
    if (targetString.length === 0) return sourceString.length;

    let matrix = [];

    // increment along the first column of each row
    for (let i = 0; i <= targetString.length; i++) {
        matrix[i] = [i];
    }

    // increment each column in the first row
    for (let j = 0; j <= sourceString.length; j++) {
        matrix[0][j] = j;
    }

    // Fill in the rest of the matrix
    for (let i = 1; i <= targetString.length; i++) {
        for (let j = 1; j <= sourceString.length; j++) {
            let cost = 1;
            if (targetString.charAt(i-1) === sourceString.charAt(j-1)) {
                cost = 0;
            }
            matrix[i][j] = Math.min(matrix[i-1][j-1] + cost, // substitution
                matrix[i][j-1] + 1, // insertion
                matrix[i-1][j] + 1  // deletion
            );
        }
    }
    return matrix[targetString.length][sourceString.length];
}

//console.log(getEditDistance("saturday", "sunday")); //sollte 3 ergeben