PAT甲级1113

1113. Integer Set Partition (25)

时间限制

150 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 set of N (> 1) positive integers, you are supposed to partition them into two disjoint sets A₁ and A₂ of n₁ and n₂numbers, respectively. Let S₁ and S₂ denote the sums of all the numbers in A₁ and A₂, respectively. You are supposed to make the partition so that |n₁ - n₂| is minimized first, and then |S₁ - S₂| is maximized.

Input Specification:

Each input file contains one test case. For each case, the first line gives an integer N (2 <= N <= 10⁵), and then N positive integers follow in the next line, separated by spaces. It is guaranteed that all the integers and their sum are less than 2³¹.

Output Specification:

For each case, print in a line two numbers: |n₁ - n₂| and |S₁ - S₂|, separated by exactly one space.

Sample Input 1:

10 23 8 10 99 46 2333 46 1 666 555

Sample Output 1:

0 3611

Sample Input 2:

13 110 79 218 69 3721 100 29 135 2 6 13 5188 85

Sample Output 2:

1 9359

#include<cstdio>
#include<algorithm>
using namespace std;
int a[100000];
int main()
{
  int N;
  scanf("%d", &N);
  for (int i = 0; i < N; i++)
  {
    scanf("%d", &a[i]);
  }
  sort(a, a + N);
  int sum1 = 0, sum2 = 0;
  for (int i = 0; i < N; i++)
  {
    if (i <= N/2-1)
      sum1 += a[i];
    else
      sum2 += a[i];
  }
  if (N % 2 == 0)
  {
    printf("%d %d\n", 0, sum2 - sum1);
  }
  else
    printf("%d %d\n", 1, sum2 - sum1);
  return 0;
}