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1996. The Number of Weak Characters in the Game (Medium)

You are playing a game that contains multiple characters, and each of the characters has two main properties: attack and defense. You are given a 2D integer array properties where properties[i] = [attacki, defensei] represents the properties of the ith character in the game.

A character is said to be weak if any other character has both attack and defense levels strictly greater than this character's attack and defense levels. More formally, a character i is said to be weak if there exists another character j where attackj > attacki and defensej > defensei.

Return the number of weak characters.

 

Example 1:

Input: properties = [[5,5],[6,3],[3,6]]
Output: 0
Explanation: No character has strictly greater attack and defense than the other.

Example 2:

Input: properties = [[2,2],[3,3]]
Output: 1
Explanation: The first character is weak because the second character has a strictly greater attack and defense.

Example 3:

Input: properties = [[1,5],[10,4],[4,3]]
Output: 1
Explanation: The third character is weak because the second character has a strictly greater attack and defense.

 

Constraints:

  • 2 <= properties.length <= 105
  • properties[i].length == 2
  • 1 <= attacki, defensei <= 105

Related Topics

[Stack] [Greedy] [Array] [Sorting] [Monotonic Stack]

Hints

Hint 1 Sort the array on the basis of the attack values and group characters with the same attack together. How can you use these groups?
Hint 2 Characters in one group will always have a lesser attack value than the characters of the next group. Hence, we will only need to check if there is a higher defense value present in the next groups.