[PAT]1007. Maximum Subsequence Sum (25)@Java

1007. Maximum Subsequence Sum (25)

时间限制

400 ms

内存限制

65536 kB

代码长度限制

16000 B

判题程序

Standard

作者

CHEN, Yue

Given a sequence of K integers { N₁, N₂, ..., N_K }. A continuous subsequence is defined to be { N_i, N_i+1, ..., N_j } where 1 <= i <= j <= K. The Maximum Subsequence is the continuous subsequence which has the largest sum of its elements. For example, given sequence { -2, 11, -4, 13, -5, -2 }, its maximum subsequence is { 11, -4, 13 } with the largest sum being 20.

Now you are supposed to find the largest sum, together with the first and the last numbers of the maximum subsequence.

Input Specification:

Each input file contains one test case. Each case occupies two lines. The first line contains a positive integer K (<= 10000). The second line contains K numbers, separated by a space.

Output Specification:

For each test case, output in one line the largest sum, together with the first and the last numbers of the maximum subsequence. The numbers must be separated by one space, but there must be no extra space at the end of a line. In case that the maximum subsequence is not unique, output the one with the smallest indices i and j (as shown by the sample case). If all the K numbers are negative, then its maximum sum is defined to be 0, and you are supposed to output the first and the last numbers of the whole sequence.

Sample Input:

10-10 1 2 3 4 -5 -23 3 7 -21

Sample Output:

10 1 4

package go.jacob.day826;import java.util.Scanner;/** * 1007. Maximum Subsequence Sum (25) *  * @author Jacob  * 注意：认真阅读题目，输出格式为：最大和序列 序列第一个数字（不是下标） 序列最后一个数字（不是下标） */public class Demo3 {public static void main(String[] args) {Scanner sc = new Scanner(System.in);int N = sc.nextInt();int[] arr = new int[N];for (int i = 0; i < N; i++)arr[i] = sc.nextInt();int max = Integer.MIN_VALUE, maxBegin = 0, maxEnd = 0;int sum = 0, tmpBegin = 0, tmpEnd = 0;for (int i = 0; i < N; i++) {if (sum < 0) {sum = 0;tmpBegin = arr[i];}sum += arr[i];tmpEnd = arr[i];if (sum > max) {max = sum;maxBegin = tmpBegin;maxEnd = tmpEnd;}}if (max >= 0)System.out.println(max + " " + maxBegin + " " + maxEnd);else//结果小于0特殊处理System.out.println(0 + " " + arr[0] + " " + arr[N - 1]);sc.close();}}