From a310b9edac790094e615405b822f12d7a3ef3cf3 Mon Sep 17 00:00:00 2001
From: "ALVIN-DESKTOP\\Alvin Toh" <alvin4292@outlook.com>
Date: Tue, 26 Mar 2024 23:22:57 +0800
Subject: [PATCH] feat(patch): update java 1220 and kotlin 1143 problem set to
 latest repo

---
 java/1220-count-vowels-permutation.java   | 137 ++++++++++++----------
 kotlin/1143-longest-common-subsequence.kt |  77 +-----------
 2 files changed, 76 insertions(+), 138 deletions(-)

diff --git a/java/1220-count-vowels-permutation.java b/java/1220-count-vowels-permutation.java
index 761952993..980bc0d55 100644
--- a/java/1220-count-vowels-permutation.java
+++ b/java/1220-count-vowels-permutation.java
@@ -1,72 +1,85 @@
+/*          Bottom-Up Approach
+-----------------------------------------
+    Time Complexity : O(n)
+    Space Complexity : O(n)
+----------------------------------------*/
+
 class Solution {
-    // 0: 'a', 1: 'e', 2: 'i', 3: 'o', 4: 'u'
+    int MOD = (int) 1e9+7; 
 
-    private static int MOD = 1_000_000_000 + 7;
-    
-    private int getSum(long[] arr) {
-        long sum = 0;
-        for(long x: arr) {
-            sum = sum + x;
-            sum = sum % MOD;
+    public int countVowelPermutation(int n) {
+        if (n == 1) {
+            return 5;
         }
-        return (int) sum;
-    }
-    
-    private long[] getBaseCounts() {
-        return new long[]{1, 1, 1, 1, 1};
-    }
-    
-    private Map<Integer, List<Integer>> getNextCountMapping() {
-        Map<Integer, List<Integer>> map = new HashMap<>();
-        
-        /*  0   1   2   3   4
-            a   e   i   o   u
-            
-            Reverse mapping i.e. "depends on"
-            {a: [e, i, u]}, {e: [a, i]}, {i: [e, o]}, 
-            {o: [i]}, {u: [i, o]}
-        */
-        
-        map.put(0, new ArrayList<>(List.of(1, 2, 4)));
-        map.put(1, new ArrayList<>(List.of(0, 2)));
-        map.put(2, new ArrayList<>(List.of(1, 3)));
-        map.put(3, new ArrayList<>(List.of(2)));
-        map.put(4, new ArrayList<>(List.of(2, 3)));
-            
-        return map;
-    }
-        
-    private long[] getNextCounts(
-        long[] currentCounts,
-        Map<Integer, List<Integer>> mapNextCounting
-    ) {
-        long[] nextCounts = new long[5];
-        Arrays.fill(nextCounts, 0);
-        
-        // Mapping conversion
-        for(int key: mapNextCounting.keySet()) {
-            for(int val: mapNextCounting.get(key)) {
-                nextCounts[val] += (long) currentCounts[key];
-                nextCounts[val] %= MOD;
-            }
+
+        long[][] dp = new long[n + 1][5];
+        for (int j = 0; j < 5; j++) {
+            dp[1][j] = 1;
         }
-        
-        return nextCounts;
+
+        for (int i = 2; i <= n; i++) {
+            dp[i][0] = dp[i - 1][1];                            
+            dp[i][1] = (dp[i - 1][0] + dp[i - 1][2]) % MOD;  
+            dp[i][2] = (dp[i - 1][0] + dp[i - 1][1] + dp[i - 1][3] + dp[i - 1][4]) % MOD; 
+            dp[i][3] = (dp[i - 1][2] + dp[i - 1][4]) % MOD;    
+            dp[i][4] = dp[i - 1][0];                           
+        }
+
+        long result = 0;
+        for (int j = 0; j < 5; j++) {
+            result = (result + dp[n][j]) % MOD;
+        }
+
+        return (int)result;
     }
-    
+}
+
+/*          Top Down Approach
+-----------------------------------------
+    Time Complexity : O(n)
+    Space Complexity : O(n)
+----------------------------------------*/
+
+class Solution {
+    HashMap<String, Integer> memo = new HashMap<>();
+    int MOD = (int) 1e9+7; 
+
     public int countVowelPermutation(int n) {
-        long[] counts = getBaseCounts();
-        if(n == 1) {
-            return getSum(counts);
-        }
+        long ans = 0;
+        ans = (ans + dfs('a', n, 1)) % MOD;
+        ans = (ans + dfs('e', n, 1)) % MOD;
+        ans = (ans + dfs('i', n, 1)) % MOD;
+        ans = (ans + dfs('o', n, 1)) % MOD;
+        ans = (ans + dfs('u', n, 1)) % MOD;
+        return (int)ans;
+    }
+
+    private int dfs(char c, int n, int l){
+        if(l == n)
+            return 1;
         
-        Map<Integer, List<Integer>> mapNextCounting;
-        mapNextCounting = getNextCountMapping();
-    
-        for(int i=1; i<n; i++) {
-            counts = getNextCounts(counts, mapNextCounting);
+        String key = c + "_" + l;
+        if (memo.containsKey(key)) return memo.get(key);
+
+        long res = 0;
+        if(c == 'a') {
+            res = dfs('e', n, l+1);
+        } else if(c == 'e') {
+            res = (res + dfs('a', n, l+1)) % MOD;
+            res = (res + dfs('i', n, l+1)) % MOD;
+        } else if(c == 'i') {
+            res = (res + dfs('a', n, l+1)) % MOD;
+            res = (res + dfs('e', n, l+1)) % MOD;
+            res = (res + dfs('o', n, l+1)) % MOD;
+            res = (res + dfs('u', n, l+1)) % MOD;
+        } else if(c == 'o') {
+            res = (res + dfs('i', n, l+1)) % MOD;
+            res = (res + dfs('u', n, l+1)) % MOD;
+        } else {
+            res = dfs('a', n, l+1);
         }
-        
-        return getSum(counts);
+
+        memo.put(key, (int)(res % MOD));
+        return (int)(res % MOD);    
     }
 }
diff --git a/kotlin/1143-longest-common-subsequence.kt b/kotlin/1143-longest-common-subsequence.kt
index 55dc1f154..ea744645e 100644
--- a/kotlin/1143-longest-common-subsequence.kt
+++ b/kotlin/1143-longest-common-subsequence.kt
@@ -20,79 +20,4 @@ class Solution {
 		}
 		return dp[M][N]
 	}
-}
-
-/*
- * Different solutions
- */
-
- // Recursion + Memoization, Time Complexity of O(n * m) and space complexity of O(n * m)
-class Solution {
-    fun longestCommonSubsequence(t1: String, t2: String): Int {
-        val n = t1.length
-        val m = t2.length
-        val dp = Array (n) { IntArray (m) { -1 } }
-
-        fun dfs(i: Int, j: Int): Int {
-            if (i == n || j == m) return 0
-            if (dp[i][j] != -1) return dp[i][j]
-
-            if (t1[i] == t2[j])
-                dp[i][j] = 1 + dfs(i + 1, j + 1)
-            else
-                dp[i][j] = maxOf(dfs(i + 1, j), dfs(i, j + 1))
-
-            return dp[i][j]
-        }
-
-        return dfs(0, 0)
-    }
-}
-
-// Top down DP, Time Complexity of O(n * m) and space complexity of O(n * m)
-class Solution {
-    fun longestCommonSubsequence(t1: String, t2: String): Int {
-        val n = t1.length
-        val m = t2.length
-        val dp = Array (n + 1) { IntArray (m + 1) }
-
-        for (i in n - 1 downTo 0) {
-            for (j in m - 1 downTo 0) {
-                if (t1[i] == t2[j])
-                    dp[i][j] = 1 + dp[i + 1][j + 1]
-                else
-                    dp[i][j] = maxOf(dp[i + 1][j], dp[i][j + 1])
-            }
-        }
-
-        return dp[0][0]
-    }
-}
-
-// Optimized DP (Works both for both Top-down and Bottom-up, but here we use bottom-up approach)
-// Time Complexity of O(n * m) and space complexity of O(maxOf(n, m))
-class Solution {
-    fun longestCommonSubsequence(t1: String, t2: String): Int {
-        val m = t1.length
-        val n = t2.length
-        if (m < n) return longestCommonSubsequence(t2, t1)
-
-        var dp = IntArray (n + 1)
-
-        for (i in m downTo 0) {
-            var newDp = IntArray (n + 1)
-            for (j in n downTo 0) {
-                if (i == m || j == n) {
-                    newDp[j] = 0
-                } else if (t1[i] == t2[j]) {
-                    newDp[j] = 1 + dp[j + 1]
-                } else {
-                    newDp[j] = maxOf(dp[j], newDp[j + 1])
-                }
-            }
-            dp = newDp
-        }
-
-        return dp[0]
-    }
-}
+}
\ No newline at end of file