feat: add solutions to lc problem: No.1960 (#4585)

Author: samarthswami1016

solution/1900-1999/1960.Maximum Product of the Length of Two Palindromic Substrings/README.md

@@ -68,25 +68,202 @@ tags:
 #### Python3
 
 ```python
-
+class Solution:
+    def maxProduct(self, s: str) -> int:
+        n = len(s)
+        hlen = [0] * n
+        center = right = 0
+
+        for i in range(n):
+            if i < right:
+                hlen[i] = min(right - i, hlen[2 * center - i])
+            while (
+                0 <= i - 1 - hlen[i]
+                and i + 1 + hlen[i] < len(s)
+                and s[i - 1 - hlen[i]] == s[i + 1 + hlen[i]]
+            ):
+                hlen[i] += 1
+            if right < i + hlen[i]:
+                center, right = i, i + hlen[i]
+
+        prefix = [0] * n
+        suffix = [0] * n
+
+        for i in range(n):
+            prefix[i + hlen[i]] = max(prefix[i + hlen[i]], 2 * hlen[i] + 1)
+            suffix[i - hlen[i]] = max(suffix[i - hlen[i]], 2 * hlen[i] + 1)
+
+        for i in range(1, n):
+            prefix[~i] = max(prefix[~i], prefix[~i + 1] - 2)
+            suffix[i] = max(suffix[i], suffix[i - 1] - 2)
+
+        for i in range(1, n):
+            prefix[i] = max(prefix[i - 1], prefix[i])
+            suffix[~i] = max(suffix[~i], suffix[~i + 1])
+
+        return max(prefix[i - 1] * suffix[i] for i in range(1, n))
 ```
 
 #### Java
 
 ```java
-
+class Solution {
+    public long maxProduct(String s) {
+        int n = s.length();
+        if (n == 2) return 1;
+        int[] len = manachers(s);
+        long[] left = new long[n];
+        int max = 1;
+        left[0] = max;
+        for (int i = 1; i <= n - 1; i++) {
+            if (len[(i - max - 1 + i) / 2] > max) max += 2;
+            left[i] = max;
+        }
+        max = 1;
+        long[] right = new long[n];
+        right[n - 1] = max;
+        for (int i = n - 2; i >= 0; i--) {
+            if (len[(i + max + 1 + i) / 2] > max) max += 2;
+            right[i] = max;
+        }
+        long res = 1;
+        for (int i = 1; i < n; i++) {
+            res = Math.max(res, left[i - 1] * right[i]);
+        }
+        return res;
+    }
+    private int[] manachers(String s) {
+        int len = s.length();
+        int[] P = new int[len];
+        int c = 0;
+        int r = 0;
+        for (int i = 0; i < len; i++) {
+            int mirror = (2 * c) - i;
+            if (i < r) {
+                P[i] = Math.min(r - i, P[mirror]);
+            }
+            int a = i + (1 + P[i]);
+            int b = i - (1 + P[i]);
+            while (a < len && b >= 0 && s.charAt(a) == s.charAt(b)) {
+                P[i]++;
+                a++;
+                b--;
+            }
+            if (i + P[i] > r) {
+                c = i;
+                r = i + P[i];
+            }
+        }
+        for (int i = 0; i < len; i++) {
+            P[i] = 1 + 2 * P[i];
+        }
+        return P;
+    }
+}
 ```
 
 #### C++
 
 ```cpp
-
+class Solution {
+public:
+    long long maxProduct(string s) {
+        long long res = 0, l = 0, n = s.size();
+        vector<int> m(n), r(n);
+
+        for (int i = 0, l = 0, r = -1; i < n; ++i) {
+            int k = (i > r) ? 1 : min(m[l + r - i], r - i + 1);
+            while (0 <= i - k && i + k < n && s[i - k] == s[i + k])
+                k++;
+            m[i] = k--;
+            if (i + k > r) {
+                l = i - k;
+                r = i + k;
+            }
+        }
+
+        queue<array<int, 2>> q, q1;
+
+        for (int i = n - 1; i >= 0; --i) {
+            while (!q.empty() && q.front()[0] - q.front()[1] > i - 1)
+                q.pop();
+            r[i] = 1 + (q.empty() ? 0 : (q.front()[0] - i) * 2);
+            q.push({i, m[i]});
+        }
+
+        for (int i = 0; i < n - 1; i++) {
+            while (!q1.empty() && q1.front()[0] + q1.front()[1] < i + 1)
+                q1.pop();
+            l = max(l, 1ll + (q1.empty() ? 0 : (i - q1.front()[0]) * 2));
+            res = max(res, l * r[i + 1]);
+            q1.push({i, m[i]});
+        }
+
+        return res;
+    }
+};
 ```
 
 #### Go
 
 ```go
-
+func maxProduct(s string) int64 {
+	n := len(s)
+	hlen := make([]int, n)
+	center, right := 0, 0
+
+	for i := 0; i < n; i++ {
+		if i < right {
+			mirror := 2*center - i
+			if mirror >= 0 && mirror < n {
+				hlen[i] = min(right-i, hlen[mirror])
+			}
+		}
+		for i-1-hlen[i] >= 0 && i+1+hlen[i] < n && s[i-1-hlen[i]] == s[i+1+hlen[i]] {
+			hlen[i]++
+		}
+		if i+hlen[i] > right {
+			center = i
+			right = i + hlen[i]
+		}
+	}
+
+	prefix := make([]int, n)
+	suffix := make([]int, n)
+
+	for i := 0; i < n; i++ {
+		r := i + hlen[i]
+		if r < n {
+			prefix[r] = max(prefix[r], 2*hlen[i]+1)
+		}
+		l := i - hlen[i]
+		if l >= 0 {
+			suffix[l] = max(suffix[l], 2*hlen[i]+1)
+		}
+	}
+
+	for i := 1; i < n; i++ {
+		if n-i-1 >= 0 {
+			prefix[n-i-1] = max(prefix[n-i-1], prefix[n-i]-2)
+		}
+		suffix[i] = max(suffix[i], suffix[i-1]-2)
+	}
+
+	for i := 1; i < n; i++ {
+		prefix[i] = max(prefix[i-1], prefix[i])
+		suffix[n-i-1] = max(suffix[n-i], suffix[n-i-1])
+	}
+
+	var res int64
+	for i := 1; i < n; i++ {
+		prod := int64(prefix[i-1]) * int64(suffix[i])
+		if prod > res {
+			res = prod
+		}
+	}
+
+	return res
+}
 ```
 
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