ZOJ 3657 The Little Girl who Picks Mushrooms第37回ACM/ICCC長春試合区現場試合C題(水題)

10249 ワード

The Little Girl who Picks Mushrooms
Time Limit: 2 Seconds     
Memory Limit: 32768 KB
It's yet another festival season in Gensokyo. Little girl Alice planned to pick mushrooms in five mountains. She brought five bags with her and used different bags to collect mushrooms from different mountains. Each bag has a capacity of 2012 grams. Alice has finished picking mushrooms in 0 ≤ n ≤ 5 mountains. In the the i-th mountain, she picked 0 ≤ wi ≤ 2012 grams of mushrooms. Now she is moving forward to the remained mountains. After finishing picking mushrooms in all the five mountains, she want to bring as much mushrooms as possible home to cook a delicious soup.
Alice lives in the forest of magic. At the entry of the forest of magic, lives three mischievous fairies, Sunny, Lunar and Star. On Alice's way back home, to enter the forest, she must give them exactly three bags of mushrooms whose total weight must be of integral kilograms. If she cannot do so, she must leave all the five bags and enter the forest with no mushrooms.
Somewhere in the forest of magic near Alice's house, lives a magician, Marisa. Marisa will steal 1 kilogram of mushrooms repeatedly from Alice until she has no more than 1 kilogram mushrooms in total.
So when Alice get home, what's the maximum possible amount of mushrooms Alice has? Remember that our common sense doesn't always hold in Gensokyo. People in Gensokyo belive that 1 kilograms is equal to 1024 grams.
Input
There are about 8192 test cases. Process to the end of file.
The first line of each test case contains an integer 0 ≤ n ≤ 5, the number of mountains where Alice has picked mushrooms. The second line contains n integers 0 ≤ wi ≤ 2012, the amount of mushrooms picked in each mountain.
Output
For each test case, output the maximum possible amount of mushrooms Alice can bring home, modulo 20121014 (this is NOT a prime).
Sample Input
1

9

4

512 512 512 512

5

100 200 300 400 500

5

208 308 508 708 1108


Sample Output
1024

1024

0

792


Note
In the second sample, if Alice doesn't pick any mushrooms from the 5-th mountain. She can give (512+512+0)=1024 grams of mushrooms to Sunny, Lunar and Star. Marisa won't steal any mushrooms from her as she has exactly 1 kilograms of mushrooms in total.
In the third sample, there are no three bags whose total weight is of integral kilograms. So Alice must leave all the five bags and enter the forest with no mushrooms.
In the last sample:
  • Giving Sunny, Lunar and Star: (208+308+508)=1024
  • Stolen by Marisa: ((708+1108)-1024)=792

  •  
    この问题は比较的に穴のお父さん...最初はずっと題意を理解していなかったので、最初のサンプルがどうやって来たのか分かりません...
    理解を誤る.
    生試合の時、私はまずKをして、それからBをやりました.チームメイトはずっとこの問題を見ていて、理解できません.
    そして私がまた見たこのC問題...何度か題意を読み直した.やっと理解した.もとは5つの山だったが、今はnつの山を完成しただけだ.
    そして素早くこの問題を書きました....この問題はランキング後のACのものです...他の問題を解く時間がない...コップですね.
     
    n=0,1,2,3の場合、答えは1024で簡単です.
    n=5の場合、3つを列挙し、3つの和を1024の倍数にし、最大値を解く.
    n=4の場合:
    まず3つを列挙して、3つが1024の倍数であるかどうかを見て、答えがあれば1024です...(このようなことをしていないチームが多いと思います).
    それからもう2つ列挙して最大を探します.
     
     
    #include<stdio.h>
    
    #include<string.h>
    
    #include<algorithm>
    
    #include<iostream>
    
    using namespace std;
    
    int a[6];
    
    int main()
    
    {
    
        int n;
    
        while(scanf("%d",&n)!=EOF)
    
        {
    
            int sum=0;
    
            for(int i=0;i<n;i++)
    
            {
    
                scanf("%d",&a[i]);
    
                sum+=a[i];
    
            }
    
            if(n>=0&&n<=3)
    
            {
    
                printf("1024
    "); continue; } int ans=0; if(n==5) { for(int i=0;i<5;i++) for(int j=i+1;j<5;j++) for(int k=j+1;k<5;k++) if((a[i]+a[j]+a[k])%1024==0) { int temp=sum-a[i]-a[j]-a[k]; while(temp>1024)temp-=1024; if(temp>ans)ans=temp; } printf("%d
    ",ans); continue; } if(n==4) { ans=0; for(int i=0;i<4;i++) for(int j=i+1;j<4;j++) for(int k=j+1;k<4;k++) if((a[i]+a[j]+a[k])%1024==0) { ans=1024; } if(ans>0) { printf("1024
    "); continue; } for(int i=0;i<4;i++) for(int j=i+1;j<4;j++) { int temp=a[i]+a[j]; while(temp>1024)temp-=1024; if(temp>ans)ans=temp; } printf("%d
    ",ans); continue; } } return 0; }