Create dynamic_programming.cpp

Author: wlgq2

0000.jian_zhi_offer/47/dynamic_programming.cpp

@@ -0,0 +1,29 @@
+class Solution
+{
+public:
+    int maxValue(vector<vector<int>>& grid) 
+    {
+        std::vector<vector<int>> dp(grid.size());
+        for (auto& x : dp)
+        {
+            x.resize(grid.back().size());
+        }
+        dp[0][0] = grid[0][0];
+        for (int i = 1;i < grid.back().size();i++)
+        {
+            dp[0][i] = dp[0][i - 1] + grid[0][i];
+        }
+        for (int i = 1; i < grid.size();i++)
+        {
+            dp[i][0] = dp[i - 1][0] + grid[i][0];
+        }
+        for (int i = 1;i < grid.size();i++)
+        {
+            for (int j = 1;j < grid.front().size();j++)
+            {
+                dp[i][j] = std::max(dp[i][j - 1], dp[i - 1][j]) + grid[i][j];
+            }
+        }
+        return dp.back().back();
+    }
+};