From c4d7aef01a2e24bae5bccb463e5450d1dc2de11c Mon Sep 17 00:00:00 2001
From: Segcolt <9hmbzr275@mozmail.com>
Date: Tue, 29 Oct 2024 10:37:23 -0300
Subject: [PATCH] Finish edit distance

---
 CSES Problem Set/Edit Distance.cpp | 109 +++++++++++++++++++++++++++++
 1 file changed, 109 insertions(+)
 create mode 100644 CSES Problem Set/Edit Distance.cpp

diff --git a/CSES Problem Set/Edit Distance.cpp b/CSES Problem Set/Edit Distance.cpp
new file mode 100644
index 0000000..9d5ccb9
--- /dev/null
+++ b/CSES Problem Set/Edit Distance.cpp	
@@ -0,0 +1,109 @@
+/* Problem URL: https://cses.fi/problemset/task/1639 */
+ 
+#include <bits/stdc++.h>
+ 
+using namespace std;
+ 
+#define V vector
+ 
+#define rmin(a, b) a = min(a, b)
+#define rmax(a, b) a = max(a, b)
+ 
+#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
+#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
+ 
+#define repv(i, v) for (auto &i : (v))
+#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
+#define sortv(v) sort(v.begin(), v.end())
+#define all(v) (v).begin(), (v).end()
+ 
+using vi = vector<int>;
+using vvi = vector<vi>;
+using vvvi = vector<vvi>;
+using vvvvi = vector<vvvi>;
+ 
+using ll = long long;
+ 
+using vl = vector<ll>;
+using vvl = vector<vl>;
+using vvvl = vector<vvl>;
+using vvvvl = vector<vvvl>;
+ 
+template<class v>
+auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
+    os << vec[0];
+    for (size_t i = 1; i < vec.size(); i++) {
+        os << ' ' << vec[i];
+    }
+    os << '\n';
+    return os;
+}
+ 
+template<class v>
+auto operator>>(istream &is, vector<v> &vec)->istream& {
+    for (auto &i : vec) {
+        is >> i;
+    }
+    return is;
+}
+ 
+template<class v>
+auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
+    for (auto &i : vec) {
+        os << i[0];
+        for (size_t j = 1; j < i.size(); j++) {
+            os << ' ' << i[j];
+        }
+        os << '\n';
+    }
+    return os;
+}
+ 
+template<class v>
+auto operator>>(istream  &is, vector<vector<v>> &vec)->istream& {
+    for (auto &i : vec) {
+        for (auto &j : i) {
+            is >> j;
+        }
+    }
+    return is;
+}
+ 
+const ll inf = INT64_MAX >> 1;
+ 
+int main()
+{
+    ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+ 
+    string a, b;
+    cin >> a >> b;
+ 
+    vvl dp(a.size() + 1, vl(b.size() + 1, inf));
+    dp[0][0] = 0;
+    for (size_t i = 0; i <= a.size(); i++) {
+        for (size_t j = 0; j <= b.size(); j++) {
+            if (i == 0 && j == 0) {
+                continue;
+            }
+ 
+            if (i == 0) {
+                rmin(dp[i][j], dp[i][j - 1] + 1);
+                continue;
+            }
+            if (j == 0) {
+                rmin(dp[i][j], dp[i - 1][j] + 1);
+                continue;
+            }
+ 
+            if (a[i - 1] == b[j - 1]) {
+                rmin(dp[i][j], dp[i - 1][j - 1]);
+                continue;
+            }
+ 
+            rmin(dp[i][j], min(dp[i - 1][j - 1], min(dp[i - 1][j], dp[i][j - 1])) + 1);
+        }
+    }
+ 
+    cout << dp[a.size()][b.size()] << '\n';
+}