LeetCode 312: Burst Balloons
LeetCode 312 Solution Explanation
Explanation:
This problem can be solved using dynamic programming. We can consider the balloons one by one, and for each balloon, we can calculate the maximum coins by bursting it last. We need to maintain a dynamic programming array to store the maximum coins we can get after bursting certain balloons.
- Create a new array by inserting 1 at the beginning and end of the input array to handle edge cases.
- Define a 2D dp array where dp[i][j] represents the maximum coins we can get by bursting balloons between indices i and j.
- Iterate over all possible balloon ranges of different lengths, updating the dp values based on the previous calculated results.
- The final answer will be stored in dp[1][n], where n is the length of the input array.
Time Complexity: O(n^3) Space Complexity: O(n^2)
:
LeetCode 312 Solutions in Java, C++, Python
class Solution {
public int maxCoins(int[] nums) {
int n = nums.length;
int[] newNums = new int[n + 2];
newNums[0] = newNums[n + 1] = 1;
for (int i = 0; i < n; i++) {
newNums[i + 1] = nums[i];
}
int[][] dp = new int[n + 2][n + 2];
for (int len = 1; len <= n; len++) {
for (int left = 1; left <= n - len + 1; left++) {
int right = left + len - 1;
for (int k = left; k <= right; k++) {
dp[left][right] = Math.max(dp[left][right], newNums[left - 1] * newNums[k] * newNums[right + 1] + dp[left][k - 1] + dp[k + 1][right]);
}
}
}
return dp[1][n];
}
}Interactive Code Editor for LeetCode 312
Improve Your LeetCode 312 Solution
Use the editor below to refine the provided solution for LeetCode 312. Select a programming language and try the following:
- Add import statements if required.
- Optimize the code for better time or space complexity.
- Add test cases to validate edge cases and common scenarios.
- Handle error conditions or invalid inputs gracefully.
- Experiment with alternative approaches to deepen your understanding.
Click "Run Code" to execute your solution and view the output. If errors occur, check the line numbers and debug accordingly. Resize the editor by dragging its bottom edge.
Loading editor...