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Triangle – LeetCode Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.
Given a triangle array, return the minimum path sum from top to bottom.
For each step, you may move to an adjacent number of the row below. More formally, if you are on index i on the current row, you may move to either index i or index i + 1 on the next row.
Example 1:
Input: triangle = [[2],[3,4],[6,5,7],[4,1,8,3]] Output: 11 Explanation: The triangle looks like: 2 3 4 6 5 7 4 1 8 3 The minimum path sum from top to bottom is 2 + 3 + 5 + 1 = 11 (underlined above).
Example 2:
Input: triangle = [[-10]] Output: -10
Constraints:
1 <= triangle.length <= 200triangle[0].length == 1triangle[i].length == triangle[i - 1].length + 1-104 <= triangle[i][j] <= 104
C++ Triangle LeetCode Solution
class Solution {
public:
int dfs(int i, int j, int n, vector<vector<int>>& triangle) {
if (i == n) return 0;
int lower_left = triangle[i][j] + dfs(i + 1, j, n, triangle);
int lower_right = triangle[i][j] + dfs(i + 1, j + 1, n, triangle);
return min(lower_left, lower_right);
}
int minimumTotal(vector<vector<int>>& triangle) {
int n = triangle.size();
return dfs(0, 0, n, triangle);
}
};
Java Triangle LeetCode Solution
public int minimumTotal(List<List<Integer>> triangle) {
int[] A = new int[triangle.size()+1];
for(int i=triangle.size()-1;i>=0;i--){
for(int j=0;j<triangle.get(i).size();j++){
A[j] = Math.min(A[j],A[j+1])+triangle.get(i).get(j);
}
}
return A[0];
}
Python 3 Triangle LeetCode Solution
class Solution:
def minimumTotal(self, triangle: List[List[int]]) -> int:
def dfs(i, j):
if i == len(triangle):
return 0
lower_left = triangle[i][j] + dfs(i + 1, j)
lower_right = triangle[i][j] + dfs(i + 1, j + 1)
return min(lower_left, lower_right)
return dfs(0, 0)
Array-1180
String-562
Hash Table-412
Dynamic Programming-390
Math-368
Sorting-264
Greedy-257
Depth-First Search-256
Database-215
Breadth-First Search-200
Tree-195
Binary Search-191
Matrix-176
Binary Tree-160
Two Pointers-151
Bit Manipulation-140
Stack-133
Heap (Priority Queue)-117
Design-116
Graph-108
Simulation-103
Prefix Sum-96
Backtracking-92
Counting-86
Sliding Window-73
Linked List-69
Union Find-66
Ordered Set-48
Monotonic Stack-47
Recursion-43
Trie-41
Binary Search Tree-40
Divide and Conquer-40
Enumeration-39
Bitmask-37
Queue-33
Memoization-32
Topological Sort-31
Geometry-30
Segment Tree-27
Game Theory-24
Hash Function-24
Binary Indexed Tree-21
Interactive-18
Data Stream-17
String Matching-17
Rolling Hash-17
Shortest Path-16
Number Theory-16
Combinatorics-15
Randomized-12
Monotonic Queue-9
Iterator-9
Merge Sort-9
Concurrency-9
Doubly-Linked List-8
Brainteaser-8
Probability and Statistics-7
Quickselect-7
Bucket Sort-6
Suffix Array-6
Minimum Spanning Tree-5
Counting Sort-5
Shell-4
Line Sweep-4
Reservoir Sampling-4
Eulerian Circuit-3
Radix Sort-3
Strongly Connected Componen-t2
Rejection Sampling-2
Biconnected Component-1
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