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HNU Digit Sum (状态压缩)
Digit Sum |
Time Limit: 2000ms, Special Time Limit:5000ms,Memory Limit:65536KB |
Total submit users: 69, Accepted users:61 |
Problem 12944 : No special judgement |
Problem description |
When Grace was in third grade, her elementary school teacher assigned her the following problem: What is the smallest possible sum of two numbers that together use the numerals1, 2, 7, 8, and 9? Grace figured out that the answer to this problem is 207 (for example, as 78 + 129), but when the teacher assigned four pages of similar problems as homework, Grace got bored. It turns out that Grace was a rather advanced third grader, so she decided that it would be more fun to write a computer program to solve such problems. Surely you can do the same! |
Input |
Input: Each problem is described on a single line. The line begins with an integerN, such that |
Output |
Output: For each case, output a line with the minimum sum S that can be achieved. Please keep in mind that by standard convention, the numeral0 cannot appear as the first digit of either summand. |
Sample Input |
5 1 2 7 8 9 6 3 4 2 2 2 2 9 0 1 2 3 4 0 1 2 3 0 |
Sample Output |
207 447 11257 |
Problem Source |
ACM Mid-Central Programming Competition 2013#include<stdio.h> #include<algorithm> using namespace std; #define mulit(i) (1<<(i)) __int64 a[15],sta[mulit(14)]; void init(int n) { __int64 sum; int h,i; sort(a,a+n); for(int s=1;s<mulit(n);s++) { h=-1; for( i=0;mulit(i)<=s;i++) if((mulit(i)&s)&&a[i]>0) { h=i; sum=a[i]; break; } if(mulit(i-1)==s) { sta[s]=a[i-1]; continue; } if(mulit(i)>s) { sta[s]=-1; continue; } for( i=0;mulit(i)<=s;i++) if((mulit(i)&s)&&h!=i) sum=sum*10+a[i]; sta[s]=sum; } } int main() { int n; __int64 minsum; while(scanf("%d",&n)>0&&n) { for(int i=0;i<n;i++) scanf("%I64d",&a[i]); init(n); minsum=-1; for(int s=1;s<mulit(n);s++) if(sta[s]!=-1&&sta[s^(mulit(n)-1)]!=-1) if(minsum==-1) minsum=sta[s]+sta[s^(mulit(n)-1)]; else if(minsum>sta[s]+sta[s^(mulit(n)-1)]) minsum=sta[s]+sta[s^(mulit(n)-1)]; printf("%I64d\n",minsum); } } |
HNU Digit Sum (状态压缩)