Problem Statement

Edit Distance

Implementation


void solve()
{
    string s, t;
    cin >> s >> t;

    ll n = sz(s), m = sz(t);
    vvll dp(n + 1, vll(m + 1, inf));
    dp[0][0] = 0;

    FOR(i, 1, n)
    dp[i][0] = i;

    FOR(j, 1, m)
    dp[0][j] = j;

    FOR(i, 1, n)
    {
        FOR(j, 1, m)
        {
            if (s[i - 1] == t[j - 1])
            {
                dp[i][j] = min(dp[i][j], dp[i - 1][j - 1]);
            }
            dp[i][j] = min(dp[i][j], dp[i - 1][j] + 1);
            dp[i][j] = min(dp[i][j], dp[i][j - 1] + 1);
            dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + 1);
        }
    }

    debug(dp);

    cout << dp[n][m] << "\n";
}