1048. Find Coins (25)

最新推荐文章于 2021-04-13 16:32:06 发布

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文章探讨了如何通过算法解决在宇宙购物商场中使用特定数量硬币进行精确金额支付的问题，详细介绍了输入输出规范，并提供了解决方案及AC代码。

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题目链接：http://www.patest.cn/contests/pat-a-practise/1048

题目：

Eva loves to collect coins from all over the universe, including some other planets like Mars. One day she visited a universal shopping mall which could accept all kinds of coins as payments. However, there was a special requirement of the payment: for each bill, she could only use exactly two coins to pay the exact amount. Since she has as many as 10⁵ coins with her, she definitely needs your help. You are supposed to tell her, for any given amount of money, whether or not she can find two coins to pay for it.

Input Specification:

Each input file contains one test case. For each case, the first line contains 2 positive numbers: N (<=10⁵, the total number of coins) and M(<=10³, the amount of money Eva has to pay). The second line contains N face values of the coins, which are all positive numbers no more than 500. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print in one line the two face values V₁ and V₂ (separated by a space) such that V₁ + V₂ = M and V₁ <= V₂. If such a solution is not unique, output the one with the smallest V₁. If there is no solution, output "No Solution" instead.

Sample Input 1:

8 15
1 2 8 7 2 4 11 15

Sample Output 1:

4 11

Sample Input 2:

7 14
1 8 7 2 4 11 15

Sample Output 2:

No Solution

分析：

采用空间的方法，直接看另一个数是否存在。注意可能存在2个重复的数，所以要计数，而不是用bool表示。

AC代码：

#include<stdio.h>
using namespace std;
#define Coin_Num 100002
int buf[1002];
int main(){
 //freopen("F://Temp/input.txt", "r", stdin);
 int N, M;
 scanf("%d%d", &N, &M);
 while (N--){
  int tmp;
  scanf("%d", &tmp);
  buf[tmp] ++;
 }
 for (int i = 1; i < 1002; i++){
  if (buf[i] != 0){
   buf[i] --;
   if (buf[M - i] != 0){
    printf("%d %d\n", i, M - i);
    return 0;
   }
  }
 }
 puts("No Solution");
 return 0;
}

截图：

——Apie陈小旭