Create get-maximum-in-generated-array.cpp

Author: kamyu104

C++/get-maximum-in-generated-array.cpp

@@ -0,0 +1,45 @@
+// Time:  O(n)
+// Space: O(n)
+
+vector<int> nums = {0, 1};
+vector<int> dp = {0, 1};
+class Solution {
+public:
+    int getMaximumGenerated(int n) {
+        if (n + 1 > size(dp)) {
+            for (int i = size(nums); i <= n; ++i) {
+                if (i % 2 == 0) {
+                    nums.emplace_back(nums[i / 2]);
+                } else {
+                    nums.emplace_back(nums[i / 2] + nums[i / 2 + 1]);
+                }
+                dp.emplace_back(max(dp.back(), nums.back()));
+            }
+        }
+        return dp[n];
+    }
+};
+
+
+// Time:  O(n)
+// Space: O(n)
+class Solution2 {
+public:
+    int getMaximumGenerated(int n) {
+        if (n == 0) {
+            return 0;
+        }
+        vector<int> nums(n + 1);
+        nums[1] = 1;
+        int result = 1;
+        for (int i = 2; i <= n; ++i) {
+            if (i % 2 == 0) {
+                nums[i] = nums[i / 2];
+            } else {
+                nums[i] = nums[i / 2] + nums[i / 2 + 1];
+            }
+            result = max(result, nums[i]);
+        }
+        return result;
+    }
+};