package q72

func make2d[T any](rows, cols int) [][]T {
	alloc := make([]T, rows*cols)
	ret := make([][]T, rows)
	for i := range ret {
		ret[i] = alloc[cols*i : cols*(i+1)]
	}
	return ret
}

func minDistance(word1 string, word2 string) int {
	minDists := make2d[int](len(word1)+1, len(word2)+1)

	for i1 := range len(word1) {
		minDists[i1+1][0] = i1 + 1
	}
	for i2 := range len(word2) {
		minDists[0][i2+1] = i2 + 1
	}

	for i1 := 1; i1 <= len(word1); i1++ {
		for i2 := 1; i2 <= len(word2); i2++ {
			if word1[i1-1] == word2[i2-1] {
				minDists[i1][i2] = minDists[i1-1][i2-1]
			} else {
				minDists[i1][i2] = min(
					minDists[i1-1][i2], minDists[i1][i2-1], minDists[i1-1][i2-1],
				) + 1
			}
		}
	}
	return minDists[len(word1)][len(word2)]
}

var _ = minDistance