Dungeon Game LeetCode Solution | LeetCode Problems For Beginners | LeetCode Problems & Solutions | Improve Problem Solving Skills | LeetCode Problems Java | LeetCode Solutions in C++
Hello Programmers/Coders, Today we are going to share solutions to the Programming problems of LeetCode Solutions in C++, Java, & Python. At Each Problem with Successful submission with all Test Cases Passed, you will get a score or marks and LeetCode Coins. And after solving maximum problems, you will be getting stars. This will highlight your profile to the recruiters.
In this post, you will find the solution for the Dungeon Game in C++, Java & Python-LeetCode problem. We are providing the correct and tested solutions to coding problems present on LeetCode. If you are not able to solve any problem, then you can take help from our Blog/website.
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Link for the Problem – Dungeon Gameโ LeetCode Problem
Dungeon Gameโ LeetCode Problem
Problem:
The demons had captured the princess and imprisoned her in the bottom-right corner of a dungeon
. The dungeon
consists of m x n
rooms laid out in a 2D grid. Our valiant knight was initially positioned in the top-left room and must fight his way through dungeon
to rescue the princess.
The knight has an initial health point represented by a positive integer. If at any point his health point drops to 0
or below, he dies immediately.
Some of the rooms are guarded by demons (represented by negative integers), so the knight loses health upon entering these rooms; other rooms are either empty (represented as 0) or contain magic orbs that increase the knight’s health (represented by positive integers).
To reach the princess as quickly as possible, the knight decides to move only rightward or downward in each step.
Return the knight’s minimum initial health so that he can rescue the princess.
Note that any room can contain threats or power-ups, even the first room the knight enters and the bottom-right room where the princess is imprisoned.
Example 1:
Input: dungeon = [[-2,-3,3],[-5,-10,1],[10,30,-5]] Output: 7 Explanation: The initial health of the knight must be at least 7 if he follows the optimal path: RIGHT-> RIGHT -> DOWN -> DOWN.
Example 2:
Input: dungeon = [[0]] Output: 1
Constraints:
m == dungeon.length
n == dungeon[i].length
1 <= m, n <= 200
-1000 <= dungeon[i][j] <= 1000
Dungeon Gameโ LeetCode Solutions
Dungeon Game Solution in C++:
class Solution { public: int calculateMinimumHP(vector<vector<int>>& dungeon) { const int m = dungeon.size(); const int n = dungeon[0].size(); vector<vector<int>> dp(m + 1, vector<int>(n + 1, INT_MAX)); dp[m][n - 1] = 1; dp[m - 1][n] = 1; for (int i = m - 1; i >= 0; --i) for (int j = n - 1; j >= 0; --j) { dp[i][j] = min(dp[i + 1][j], dp[i][j + 1]) - dungeon[i][j]; dp[i][j] = max(dp[i][j], 1); } return dp[0][0]; } };
Dungeon Game Solution in Java:
class Solution { public int calculateMinimumHP(int[][] dungeon) { final int m = dungeon.length; final int n = dungeon[0].length; int[][] dp = new int[m + 1][n + 1]; Arrays.stream(dp).forEach(A -> Arrays.fill(A, Integer.MAX_VALUE)); dp[m][n - 1] = 1; dp[m - 1][n] = 1; for (int i = m - 1; i >= 0; --i) for (int j = n - 1; j >= 0; --j) { dp[i][j] = Math.min(dp[i + 1][j], dp[i][j + 1]) - dungeon[i][j]; dp[i][j] = Math.max(dp[i][j], 1); } return dp[0][0]; } }
Dungeon Game Solution in Python:
class Solution: def calculateMinimumHP(self, dungeon: List[List[int]]) -> int: m = len(dungeon) n = len(dungeon[0]) dp = [math.inf] * (n + 1) dp[n - 1] = 1 for i in reversed(range(m)): for j in reversed(range(n)): dp[j] = min(dp[j], dp[j + 1]) - dungeon[i][j] dp[j] = max(dp[j], 1) return dp[0]
- Time: O(mn)O(mn)
- Space: O(mn) \to O(n)O(mn)โO(n)
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