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Java-based LeetCode algorithm problem solutions, regularly updated
package g0601_0700.s0646_maximum_length_of_pair_chain;
// #Medium #Array #Dynamic_Programming #Sorting #Greedy
// #2022_03_21_Time_11_ms_(88.84%)_Space_54.4_MB_(18.92%)
import java.util.Arrays;
/**
* 646 - Maximum Length of Pair Chain\.
*
* Medium
*
* You are given an array of `n` pairs `pairs` where pairs[i] = [lefti, righti]
and lefti < righti
.
*
* A pair `p2 = [c, d]` **follows** a pair `p1 = [a, b]` if `b < c`. A **chain** of pairs can be formed in this fashion.
*
* Return _the length longest chain which can be formed_.
*
* You do not need to use up all the given intervals. You can select pairs in any order.
*
* **Example 1:**
*
* **Input:** pairs = \[\[1,2],[2,3],[3,4]]
*
* **Output:** 2
*
* **Explanation:** The longest chain is [1,2] -> [3,4].
*
* **Example 2:**
*
* **Input:** pairs = \[\[1,2],[7,8],[4,5]]
*
* **Output:** 3
*
* **Explanation:** The longest chain is [1,2] -> [4,5] -> [7,8].
*
* **Constraints:**
*
* * `n == pairs.length`
* * `1 <= n <= 1000`
* * -1000 <= lefti < righti <= 1000
**/
public class Solution {
public int findLongestChain(int[][] pairs) {
if (pairs.length == 1) {
return 1;
}
Arrays.sort(pairs, (a, b) -> a[1] - b[1]);
int min = pairs[0][1];
int max = 1;
for (int i = 1; i < pairs.length; i++) {
if (pairs[i][0] > min) {
max++;
min = pairs[i][1];
}
}
return max;
}
}
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