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
Similar Questions:
// OJ: https://leetcode.com/problems/the-number-of-weak-characters-in-the-game/
// Author: github.com/lzl124631x
// Time: O(NlogN)
// Space: O(N)
class Solution {
public:
int numberOfWeakCharacters(vector<vector<int>>& A) {
sort(begin(A), end(A), [](auto &a, auto &b) { return a[0] < b[0]; });
multiset<int> s;
for (auto &a : A) s.insert(a[1]);
int N = A.size(), ans = 0;
for (int i = 0; i < N; ) {
vector<int> ds;
int at = A[i][0];
while (i < N && A[i][0] == at) {
ds.push_back(A[i][1]);
s.erase(s.find(A[i][1]));
++i;
}
for (int d : ds) {
ans += s.upper_bound(d) != s.end();
}
}
return ans;
}
};
Similar to 354. Russian Doll Envelopes (Hard)
// OJ: https://leetcode.com/problems/the-number-of-weak-characters-in-the-game/
// Author: github.com/lzl124631x
// Time: O(NlogN)
// Space: O(N)
class Solution {
public:
int numberOfWeakCharacters(vector<vector<int>>& A) {
sort(begin(A), end(A), [](auto &a, auto &b) { return a[0] != b[0] ? a[0] > b[0] : a[1] < b[1]; });
vector<int> dp;
int ans = 0;
for (auto &c : A) {
int i = lower_bound(begin(dp), end(dp), c[1], greater<>()) - begin(dp);
if (i == dp.size()) dp.emplace_back();
dp[i] = c[1];
ans += i > 0;
}
return ans;
}
};
Use Bucket Sort. Work on O(N)
solution.