hdu1709The Balance(母函数)
2016-04-18 09:39
204 查看
The Balance
Time Limit: 1000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 7248 Accepted Submission(s): 2990
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
Source
HDU 2007-Spring Programming Contest
个人理解题意:
给你n个砝码让你在天平上看能让这些砝码能测出小于等 于砝码的总质量,把不能测出的质量输出来。
#include <iostream> using namespace std; #include<stdlib.h> #include<stdio.h> #include <cstring> #include<string> #include<cmath> #include<algorithm> int c1[10000],c2[10000]; int main() { int T; while(~scanf("%d",&T)) { int a[10000]; int i,sum=0,j,k,w=0; for(i=0;i<T;i++) { scanf("%d",&a[i]); sum+=a[i];//计算出砝码的的总质量 } for(i=T;i<2*T;i++) { a[i]=-a[i-T];//因为砝码可以放两边 } memset(c1,0,sizeof(c1));//母函数模板 memset(c2,0,sizeof(c2)); c1[0]=1; c1[a[0]]=1; for(i=1;i<2*T;i++) { for(k=0;k<=sum;k++) { if(c1[k]==1)//等于1说明存在。 { c2[k]=1; if(k+a[i]>=0) c2[k+a[i]]=1; } } for(j=0;j<=sum;j++) { c1[j]=c2[j]; c2[j]=0; } } int q=0; for(i=1;i<=sum;i++) { if(c1[i]==0) { q++; } } if(q==0) printf("0\n"); else { printf("%d\n",q); for(i=1;i<=sum;i++) { if(c1[i]==0&&w==0)//w控制格式的 { printf("%d",i); w=1; } else if(c1[i]==0&&w==1) { printf(" %d",i); } } printf("\n"); } } return 0; }
相关文章推荐
- ACM常用算法
- 母函数 多项式相乘求系数(HDU 1028)
- 母函数简单应用_hdu_2189
- 母函数
- 母函数
- hdu 1085
- hdu1028 母函数
- hdu 1085母函数的应用
- hdu 1085母函数的应用
- Square Coins
- Big Event in HDU(多重背包或母函数)
- Holding Bin-Laden Captive!(母函数或多重背包)
- Ignatius and the Princess III(母函数或动态规划)
- hdu 1398 (母函数)
- HDU 1028 Ignatius and the Princess III(母函数)
- hdu 1398 Square Coins(母函数)
- HDU 1709 The Balance【特殊母函数】
- HDU 2082 找单词【母函数】
- hdoj 2566 统计硬币
- Hdu 2079 (母函数应用)