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962. Maximum Width Ramp

Description

A ramp in an integer array nums is a pair (i, j) for which i < j and nums[i] <= nums[j]. The width of such a ramp is j - i.

Given an integer array nums, return the maximum width of a ramp in nums. If there is no ramp in nums, return 0.

 

Example 1:

Input: nums = [6,0,8,2,1,5]
Output: 4
Explanation: The maximum width ramp is achieved at (i, j) = (1, 5): nums[1] = 0 and nums[5] = 5.

Example 2:

Input: nums = [9,8,1,0,1,9,4,0,4,1]
Output: 7
Explanation: The maximum width ramp is achieved at (i, j) = (2, 9): nums[2] = 1 and nums[9] = 1.

 

Constraints:

• 2 <= nums.length <= 5 * 104
• 0 <= nums[i] <= 5 * 104

Solutions

• Java
• C++
• Python
• Go
• TypeScript
• Javascript

• class Solution {
      public int maxWidthRamp(int[] nums) {
          int n = nums.length;
          Deque<Integer> stk = new ArrayDeque<>();
          for (int i = 0; i < n; ++i) {
              if (stk.isEmpty() || nums[stk.peek()] > nums[i]) {
                  stk.push(i);
              }
          }
          int ans = 0;
          for (int i = n - 1; i >= 0; --i) {
              while (!stk.isEmpty() && nums[stk.peek()] <= nums[i]) {
                  ans = Math.max(ans, i - stk.pop());
              }
              if (stk.isEmpty()) {
                  break;
              }
          }
          return ans;
      }
  }
  

• class Solution {
  public:
      int maxWidthRamp(vector<int>& nums) {
          int n = nums.size();
          stack<int> stk;
          for (int i = 0; i < n; ++i) {
              if (stk.empty() || nums[stk.top()] > nums[i]) stk.push(i);
          }
          int ans = 0;
          for (int i = n - 1; i; --i) {
              while (!stk.empty() && nums[stk.top()] <= nums[i]) {
                  ans = max(ans, i - stk.top());
                  stk.pop();
              }
              if (stk.empty()) break;
          }
          return ans;
      }
  };
  

• class Solution:
      def maxWidthRamp(self, nums: List[int]) -> int:
          stk = []
          for i, v in enumerate(nums):
              if not stk or nums[stk[-1]] > v:
                  stk.append(i)
          ans = 0
          for i in range(len(nums) - 1, -1, -1):
              while stk and nums[stk[-1]] <= nums[i]:
                  ans = max(ans, i - stk.pop())
              if not stk:
                  break
          return ans
  
  

• func maxWidthRamp(nums []int) int {
  	n := len(nums)
  	stk := []int{}
  	for i, v := range nums {
  		if len(stk) == 0 || nums[stk[len(stk)-1]] > v {
  			stk = append(stk, i)
  		}
  	}
  	ans := 0
  	for i := n - 1; i >= 0; i-- {
  		for len(stk) > 0 && nums[stk[len(stk)-1]] <= nums[i] {
  			ans = max(ans, i-stk[len(stk)-1])
  			stk = stk[:len(stk)-1]
  		}
  		if len(stk) == 0 {
  			break
  		}
  	}
  	return ans
  }
  

• function maxWidthRamp(nums: number[]): number {
      let [ans, n] = [0, nums.length];
      const stk: number[] = [];
  
      for (let i = 0; i < n - 1; i++) {
          if (stk.length === 0 || nums[stk.at(-1)!] > nums[i]) {
              stk.push(i);
          }
      }
  
      for (let i = n - 1; i >= 0; i--) {
          while (stk.length && nums[stk.at(-1)!] <= nums[i]) {
              ans = Math.max(ans, i - stk.pop()!);
          }
          if (stk.length === 0) break;
      }
  
      return ans;
  }
  
  

• function maxWidthRamp(nums) {
      let [ans, n] = [0, nums.length];
      const stk = [];
  
      for (let i = 0; i < n - 1; i++) {
          if (stk.length === 0 || nums[stk.at(-1)] > nums[i]) {
              stk.push(i);
          }
      }
  
      for (let i = n - 1; i >= 0; i--) {
          while (stk.length && nums[stk.at(-1)] <= nums[i]) {
              ans = Math.max(ans, i - stk.pop());
          }
          if (stk.length === 0) break;
      }
  
      return ans;
  }
  
  

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