feat: add solutions to lc problems: No.3346,3347 (doocs#3739)

Author: yanglbme

solution/1500-1599/1547.Minimum Cost to Cut a Stick/README.md

@@ -73,17 +73,17 @@ tags:
 
 ### 方法一：动态规划（区间 DP）
 
-我们可以往切割点数组 $cuts$ 中添加两个元素，分别是 $0$ 和 $n$，表示棍子的两端。然后我们对 $cuts$ 数组进行排序，这样我们就可以将整个棍子切割为若干个区间，每个区间都有两个切割点。不妨设此时 $cuts$ 数组的长度为 $m$。
+我们可以往切割点数组 $\textit{cuts}$ 中添加两个元素，分别是 $0$ 和 $n$，表示棍子的两端。然后我们对 $\textit{cuts}$ 数组进行排序，这样我们就可以将整个棍子切割为若干个区间，每个区间都有两个切割点。不妨设此时 $\textit{cuts}$ 数组的长度为 $m$。
 
-接下来，我们定义 $f[i][j]$ 表示切割区间 $[cuts[i],..cuts[j]]$ 的最小成本。
+接下来，我们定义 $\textit{f}[i][j]$ 表示切割区间 $[\textit{cuts}[i],..\textit{cuts}[j]]$ 的最小成本。
 
-如果一个区间只有两个切割点，也就是说，我们无需切割这个区间，那么 $f[i][j] = 0$。
+如果一个区间只有两个切割点，也就是说，我们无需切割这个区间，那么 $\textit{f}[i][j] = 0$。
 
-否则，我们枚举区间的长度 $l$，其中 $l$ 等于切割点的数量减去 $1$。然后我们枚举区间的左端点 $i$，右端点 $j$ 可以由 $i + l$ 得到。对于每个区间，我们枚举它的切割点 $k$，其中 $i \lt k \lt j$，那么我们可以将区间 $[i, j]$ 切割为 $[i, k]$ 和 $[k, j]$，此时的成本为 $f[i][k] + f[k][j] + cuts[j] - cuts[i]$，我们取所有可能的 $k$ 中的最小值，即为 $f[i][j]$ 的值。
+否则，我们枚举区间的长度 $l$，其中 $l$ 等于切割点的数量减去 $1$。然后我们枚举区间的左端点 $i$，右端点 $j$ 可以由 $i + l$ 得到。对于每个区间，我们枚举它的切割点 $k$，其中 $i \lt k \lt j$，那么我们可以将区间 $[i, j]$ 切割为 $[i, k]$ 和 $[k, j]$，此时的成本为 $\textit{f}[i][k] + \textit{f}[k][j] + \textit{cuts}[j] - \textit{cuts}[i]$，我们取所有可能的 $k$ 中的最小值，即为 $\textit{f}[i][j]$ 的值。
 
-最后，我们返回 $f[0][m - 1]$。
+最后，我们返回 $\textit{f}[0][m - 1]$。
 
-时间复杂度 $O(m^3)$，空间复杂度 $O(m^2)$。其中 $m$ 为修改后的 $cuts$ 数组的长度。
+时间复杂度 $O(m^3)$，空间复杂度 $O(m^2)$。其中 $m$ 为修改后的 $\textit{cuts}$ 数组的长度。
 
 <!-- tabs:start -->
 
@@ -186,15 +186,15 @@ func minCost(n int, cuts []int) int {
 
 ```ts
 function minCost(n: number, cuts: number[]): number {
-    cuts.push(0);
-    cuts.push(n);
+    cuts.push(0, n);
     cuts.sort((a, b) => a - b);
     const m = cuts.length;
-    const f: number[][] = new Array(m).fill(0).map(() => new Array(m).fill(0));
-    for (let i = m - 2; i >= 0; --i) {
-        for (let j = i + 2; j < m; ++j) {
-            f[i][j] = 1 << 30;
-            for (let k = i + 1; k < j; ++k) {
+    const f: number[][] = Array.from({ length: m }, () => Array(m).fill(0));
+    for (let l = 2; l < m; l++) {
+        for (let i = 0; i < m - l; i++) {
+            const j = i + l;
+            f[i][j] = Infinity;
+            for (let k = i + 1; k < j; k++) {
                 f[i][j] = Math.min(f[i][j], f[i][k] + f[k][j] + cuts[j] - cuts[i]);
             }
         }
@@ -209,7 +209,11 @@ function minCost(n: number, cuts: number[]): number {
 
 <!-- solution:start -->
 
-### 方法二
+### 方法二：动态规划（另一种枚举方式）
+
+我们也可以从大到小枚举 $i$，从小到大枚举 $j$，这样可以保证在计算 $f[i][j]$ 时，状态 $f[i][k]$ 和 $f[k][j]$ 都已经被计算过了，其中 $i \lt k \lt j$。
+
+时间复杂度 $O(m^3)$，空间复杂度 $O(m^2)$。其中 $m$ 为修改后的 $\textit{cuts}$ 数组的长度。
 
 <!-- tabs:start -->
 
@@ -304,6 +308,27 @@ func minCost(n int, cuts []int) int {
 }
 ```
 
+#### TypeScript
+
+```ts
+function minCost(n: number, cuts: number[]): number {
+    cuts.push(0);
+    cuts.push(n);
+    cuts.sort((a, b) => a - b);
+    const m = cuts.length;
+    const f: number[][] = Array.from({ length: m }, () => Array(m).fill(0));
+    for (let i = m - 2; i >= 0; --i) {
+        for (let j = i + 2; j < m; ++j) {
+            f[i][j] = 1 << 30;
+            for (let k = i + 1; k < j; ++k) {
+                f[i][j] = Math.min(f[i][j], f[i][k] + f[k][j] + cuts[j] - cuts[i]);
+            }
+        }
+    }
+    return f[0][m - 1];
+}
+```
+
 <!-- tabs:end -->
 
 <!-- solution:end -->

solution/1500-1599/1547.Minimum Cost to Cut a Stick/README_EN.md

@@ -68,17 +68,17 @@ There are much ordering with total cost <= 25, for example, the order [4, 6,
 
 ### Solution 1: Dynamic Programming (Interval DP)
 
-We can add two elements to the cut array $cuts$, which are $0$ and $n$, representing the two ends of the stick. Then we sort the $cuts$ array, so that we can cut the entire stick into several intervals, each interval has two cut points. Suppose the length of the $cuts$ array at this time is $m$.
+We can add two elements to the array $\textit{cuts}$, namely $0$ and $n$, representing the two ends of the stick. Then we sort the $\textit{cuts}$ array, so we can divide the entire stick into several intervals, each with two cut points. Let the length of the $\textit{cuts}$ array be $m$.
 
-Next, we define $f[i][j]$ to represent the minimum cost of cutting the interval $[cuts[i],..cuts[j]]$.
+Next, we define $\textit{f}[i][j]$ to represent the minimum cost to cut the interval $[\textit{cuts}[i], \textit{cuts}[j]]$.
 
-If an interval only has two cut points, that is, we do not need to cut this interval, then $f[i][j] = 0$.
+If an interval has only two cut points, meaning we do not need to cut this interval, then $\textit{f}[i][j] = 0$.
 
-Otherwise, we enumerate the length of the interval $l$, where $l$ is the number of cut points minus $1$. Then we enumerate the left endpoint $i$ of the interval, and the right endpoint $j$ can be obtained by $i + l$. For each interval, we enumerate its cut point $k$, where $i \lt k \lt j$, then we can cut the interval $[i, j]$ into $[i, k]$ and $[k, j]$, the cost at this time is $f[i][k] + f[k][j] + cuts[j] - cuts[i]$, we take the minimum value of all possible $k$, which is the value of $f[i][j]$.
+Otherwise, we enumerate the length $l$ of the interval, where $l$ is equal to the number of cut points minus $1$. Then we enumerate the left endpoint $i$ of the interval, and the right endpoint $j$ can be obtained by $i + l$. For each interval, we enumerate its cut point $k$, where $i \lt k \lt j$. We can then divide the interval $[i, j]$ into $[i, k]$ and $[k, j]$. The cost at this point is $\textit{f}[i][k] + \textit{f}[k][j] + \textit{cuts}[j] - \textit{cuts}[i]$. We take the minimum value among all possible $k$, which is the value of $\textit{f}[i][j]$.
 
-Finally, we return $f[0][m - 1]$.
+Finally, we return $\textit{f}[0][m - 1]$.
 
-The time complexity is $O(m^3)$, and the space complexity is $O(m^2)$. Here, $m$ is the length of the modified $cuts$ array.
+The time complexity is $O(m^3)$, and the space complexity is $O(m^2)$. Here, $m$ is the length of the modified $\textit{cuts}$ array.
 
 <!-- tabs:start -->
 
@@ -181,15 +181,15 @@ func minCost(n int, cuts []int) int {
 
 ```ts
 function minCost(n: number, cuts: number[]): number {
-    cuts.push(0);
-    cuts.push(n);
+    cuts.push(0, n);
     cuts.sort((a, b) => a - b);
     const m = cuts.length;
-    const f: number[][] = new Array(m).fill(0).map(() => new Array(m).fill(0));
-    for (let i = m - 2; i >= 0; --i) {
-        for (let j = i + 2; j < m; ++j) {
-            f[i][j] = 1 << 30;
-            for (let k = i + 1; k < j; ++k) {
+    const f: number[][] = Array.from({ length: m }, () => Array(m).fill(0));
+    for (let l = 2; l < m; l++) {
+        for (let i = 0; i < m - l; i++) {
+            const j = i + l;
+            f[i][j] = Infinity;
+            for (let k = i + 1; k < j; k++) {
                 f[i][j] = Math.min(f[i][j], f[i][k] + f[k][j] + cuts[j] - cuts[i]);
             }
         }
@@ -204,7 +204,11 @@ function minCost(n: number, cuts: number[]): number {
 
 <!-- solution:start -->
 
-### Solution 2
+### Solution 2: Dynamic Programming (Another Enumeration Method)
+
+We can also enumerate $i$ from large to small and $j$ from small to large. This ensures that when calculating $f[i][j]$, the states $f[i][k]$ and $f[k][j]$ have already been computed, where $i \lt k \lt j$.
+
+The time complexity is $O(m^3)$, and the space complexity is $O(m^2)$. Here, $m$ is the length of the modified $\textit{cuts}$ array.
 
 <!-- tabs:start -->
 
@@ -299,6 +303,27 @@ func minCost(n int, cuts []int) int {
 }
 ```
 
+#### TypeScript
+
+```ts
+function minCost(n: number, cuts: number[]): number {
+    cuts.push(0);
+    cuts.push(n);
+    cuts.sort((a, b) => a - b);
+    const m = cuts.length;
+    const f: number[][] = Array.from({ length: m }, () => Array(m).fill(0));
+    for (let i = m - 2; i >= 0; --i) {
+        for (let j = i + 2; j < m; ++j) {
+            f[i][j] = 1 << 30;
+            for (let k = i + 1; k < j; ++k) {
+                f[i][j] = Math.min(f[i][j], f[i][k] + f[k][j] + cuts[j] - cuts[i]);
+            }
+        }
+    }
+    return f[0][m - 1];
+}
+```
+
 <!-- tabs:end -->
 
 <!-- solution:end -->

solution/1500-1599/1547.Minimum Cost to Cut a Stick/Solution.ts

@@ -1,13 +1,13 @@
 function minCost(n: number, cuts: number[]): number {
-    cuts.push(0);
-    cuts.push(n);
+    cuts.push(0, n);
     cuts.sort((a, b) => a - b);
     const m = cuts.length;
-    const f: number[][] = new Array(m).fill(0).map(() => new Array(m).fill(0));
-    for (let i = m - 2; i >= 0; --i) {
-        for (let j = i + 2; j < m; ++j) {
-            f[i][j] = 1 << 30;
-            for (let k = i + 1; k < j; ++k) {
+    const f: number[][] = Array.from({ length: m }, () => Array(m).fill(0));
+    for (let l = 2; l < m; l++) {
+        for (let i = 0; i < m - l; i++) {
+            const j = i + l;
+            f[i][j] = Infinity;
+            for (let k = i + 1; k < j; k++) {
                 f[i][j] = Math.min(f[i][j], f[i][k] + f[k][j] + cuts[j] - cuts[i]);
             }
         }

solution/1500-1599/1547.Minimum Cost to Cut a Stick/Solution2.ts

@@ -0,0 +1,16 @@
+function minCost(n: number, cuts: number[]): number {
+    cuts.push(0);
+    cuts.push(n);
+    cuts.sort((a, b) => a - b);
+    const m = cuts.length;
+    const f: number[][] = Array.from({ length: m }, () => Array(m).fill(0));
+    for (let i = m - 2; i >= 0; --i) {
+        for (let j = i + 2; j < m; ++j) {
+            f[i][j] = 1 << 30;
+            for (let k = i + 1; k < j; ++k) {
+                f[i][j] = Math.min(f[i][j], f[i][k] + f[k][j] + cuts[j] - cuts[i]);
+            }
+        }
+    }
+    return f[0][m - 1];
+}

solution/3300-3399/3346.Maximum Frequency of an Element After Performing Operations I/README.md

@@ -86,25 +86,124 @@ edit_url: https://github.com/doocs/leetcode/edit/main/solution/3300-3399/3346.Ma
 #### Python3
 
 ```python
-
+class Solution:
+    def maxFrequency(self, nums: List[int], k: int, numOperations: int) -> int:
+        cnt = defaultdict(int)
+        d = defaultdict(int)
+        for x in nums:
+            cnt[x] += 1
+            d[x] += 0
+            d[x - k] += 1
+            d[x + k + 1] -= 1
+        ans = s = 0
+        for x, t in sorted(d.items()):
+            s += t
+            ans = max(ans, min(s, cnt[x] + numOperations))
+        return ans
 ```
 
 #### Java
 
 ```java
-
+class Solution {
+    public int maxFrequency(int[] nums, int k, int numOperations) {
+        Map<Integer, Integer> cnt = new HashMap<>();
+        TreeMap<Integer, Integer> d = new TreeMap<>();
+        for (int x : nums) {
+            cnt.merge(x, 1, Integer::sum);
+            d.putIfAbsent(x, 0);
+            d.merge(x - k, 1, Integer::sum);
+            d.merge(x + k + 1, -1, Integer::sum);
+        }
+        int ans = 0, s = 0;
+        for (var e : d.entrySet()) {
+            int x = e.getKey(), t = e.getValue();
+            s += t;
+            ans = Math.max(ans, Math.min(s, cnt.getOrDefault(x, 0) + numOperations));
+        }
+        return ans;
+    }
+}
 ```
 
 #### C++
 
 ```cpp
-
+class Solution {
+public:
+    int maxFrequency(vector<int>& nums, int k, int numOperations) {
+        unordered_map<int, int> cnt;
+        map<int, int> d;
+
+        for (int x : nums) {
+            cnt[x]++;
+            d[x];
+            d[x - k]++;
+            d[x + k + 1]--;
+        }
+
+        int ans = 0, s = 0;
+        for (const auto& [x, t] : d) {
+            s += t;
+            ans = max(ans, min(s, cnt[x] + numOperations));
+        }
+
+        return ans;
+    }
+};
 ```
 
 #### Go
 
 ```go
+func maxFrequency(nums []int, k int, numOperations int) (ans int) {
+	cnt := make(map[int]int)
+	d := make(map[int]int)
+	for _, x := range nums {
+		cnt[x]++
+		d[x] = d[x]
+		d[x-k]++
+		d[x+k+1]--
+	}
+
+	s := 0
+	keys := make([]int, 0, len(d))
+	for key := range d {
+		keys = append(keys, key)
+	}
+	sort.Ints(keys)
+	for _, x := range keys {
+		s += d[x]
+		ans = max(ans, min(s, cnt[x]+numOperations))
+	}
+
+	return
+}
+```
 
+#### TypeScript
+
+```ts
+function maxFrequency(nums: number[], k: number, numOperations: number): number {
+    const cnt: Record<number, number> = {};
+    const d: Record<number, number> = {};
+    for (const x of nums) {
+        cnt[x] = (cnt[x] || 0) + 1;
+        d[x] = d[x] || 0;
+        d[x - k] = (d[x - k] || 0) + 1;
+        d[x + k + 1] = (d[x + k + 1] || 0) - 1;
+    }
+    let [ans, s] = [0, 0];
+    const keys = Object.keys(d)
+        .map(Number)
+        .sort((a, b) => a - b);
+    for (const x of keys) {
+        s += d[x];
+        ans = Math.max(ans, Math.min(s, (cnt[x] || 0) + numOperations));
+    }
+
+    return ans;
+}
 ```
 
 <!-- tabs:end -->