[leetcode] First Missing Positive

Given an unsorted integer array, find the first missing positive integer.

For example,
Given[1,2,0]return3,
and[3,4,-1,1]return2.

Your algorithm should run in O(n) time and uses constant space.

https://oj.leetcode.com/problems/first-missing-positive/

思路:交换数组元素,使得数组中第i位存放数值(i+1)。最后遍历数组,寻找第一个不符合此要求的元素,返回其下标。整个过程需要遍历两次数组,复杂度为O(n)


public class Solution {
	public int firstMissingPositive(int[] A) {
		if (A == null && A.length == 0)
			return 1;
		int n = A.length;
		int i;
		for (i = 0; i < n; i++) {
			while (A[i] > 0 && A[i] != i + 1 && A[i] <= n
					&& A[i] != A[A[i] - 1]) {
				swap(A, i, A[i] - 1);
			}

		}
		for (i = 0; i < n; i++)
			if (A[i] != i + 1)
				return i + 1;

		return n + 1;

	}

	private void swap(int[] a, int i, int j) {
		int tmp = a[i];
		a[i] = a[j];
		a[j] = tmp;

	}

	public static void main(String[] args) {
		 System.out.println(new Solution().firstMissingPositive(new int[] { 1,
		 2, 0 }));
		 System.out.println(new Solution().firstMissingPositive(new int[] { 3,
		 4, -1, 1 }));
		 System.out
		 .println(new Solution().firstMissingPositive(new int[] { 0 }));
		 System.out
		 .println(new Solution().firstMissingPositive(new int[] { 1 }));
		 System.out
		 .println(new Solution().firstMissingPositive(new int[] { 2 }));
		
		 System.out.println(new Solution()
		 .firstMissingPositive(new int[] { 0, 1 }));
		System.out.println(new Solution()
				.firstMissingPositive(new int[] { 1, 1 }));
	}

}



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