package main
import (
"fmt"
)
func main() {
var s1, s2 string
fmt.Scan(&s1, &s2)
dp := make([][]int, len(s1) + 1)
for i:=0;i<len(s1)+1;i++ {
dp[i] = make([]int, len(s2) + 1)
dp[i][0] = i
}
for i:=0;i<len(s2) + 1;i++ {
dp[0][i] = i
}
for i:=0;i<len(s1);i++ {
for j:=0;j<len(s2);j++ {
if s1[i] == s2[j] {
dp[i+1][j+1] = dp[i][j]
} else {
dp[i+1][j+1] = min(min(dp[i][j+1],dp[i+1][j]), dp[i][j]) + 1
}
}
}
// fmt.Println(dp)
fmt.Println(dp[len(s1)][len(s2)])
}
func min(a,b int) int {
if a > b {
return b
}
return a
}