#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#define MAX 10010
int c1[MAX], c2[MAX], num[110];
/* 题目大意: 给你n种砝码,从1到n中砝码的重量和其中不能称出多少种重量,输出不能称出的总数和类别*/
int main()
{
int n;
while( scanf("%d", &n)!=EOF )
{
memset(num, 0, sizeof(num) );
memset(c1, 0, sizeof(c1) );
memset(c2, 0, sizeof(c2) );
int total = 0;
for(int i=0; i<n; i++) //重量输入
{scanf("%d", &num[i]); total+=num[i];}
//for(int i=0; i<=total; i++)
//c1[i] = c2[i] = 0;
c1[0] = 1; //第一个括号,重量为0的
for(int i=0; i<n; i++)
{
for(int j=0; j<=total; j++)
{
c2[j] |= c1[j]; //否能称得,自己砝码的重量
if(num[i] + j <=total) //重量和是否大于总重量
c2[j+num[i]] |= c1[j]; //重量和
c2[abs(j-num[i])] |= c1[j]; //重量差
}
for(int j=0; j<=total; j++) //一次循环赋值
{c1[j] = c2[j]; c2[j] = 0;}
}
int count = 0;
for(int i=0; i<=total; i++) //查找能否称得的重量
{
if(!c1[i])
c2[count++] = i;
}
printf("%d\n", count);
for(int i=0; i<count-1; i++)
printf("%d ", c2[i]);
if(count) printf("%d\n", c2[count-1]);
}
return 0;
}
/*
Problem Description
Now you are asked to measure a dose of medicine with a balance and a number of weights. Certainly it is not always achievable. So you should find out the qualities which cannot be measured from the range [1,S]. S is the total quality of all the weights.
Input
The input consists of multiple test cases, and each case begins with a single positive integer N (1<=N<=100) on a line by itself indicating the number of weights you have. Followed by N integers Ai (1<=i<=N), indicating the quality of each weight where 1<=Ai<=100.
Output
For each input set, you should first print a line specifying the number of qualities which cannot be measured. Then print another line which consists all the irrealizable qualities if the number is not zero.
Sample Input
3
1 2 4
3
9 2 1
Sample Output
0
2
4 5
*/
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时间: 2024-10-13 15:17:51