POJ-2709(Painter)

xiaoxiao2021-02-28  5

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Painter Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 5097 Accepted: 2952

Description

The local toy store sells small fingerpainting kits with between three and twelve 50ml bottles of paint, each a different color. The paints are bright and fun to work with, and have the useful property that if you mix X ml each of any three different colors, you get X ml of gray. (The paints are thick and "airy", almost like cake frosting, and when you mix them together the volume doesn't increase, the paint just gets more dense.) None of the individual colors are gray; the only way to get gray is by mixing exactly three distinct colors, but it doesn't matter which three. Your friend Emily is an elementary school teacher and every Friday she does a fingerpainting project with her class. Given the number of different colors needed, the amount of each color, and the amount of gray, your job is to calculate the number of kits needed for her class.

Input

The input consists of one or more test cases, followed by a line containing only zero that signals the end of the input. Each test case consists of a single line of five or more integers, which are separated by a space. The first integer N is the number of different colors (3 <= N <= 12). Following that are N different nonnegative integers, each at most 1,000, that specify the amount of each color needed. Last is a nonnegative integer G <= 1,000 that specifies the amount of gray needed. All quantities are in ml. 

Output

For each test case, output the smallest number of fingerpainting kits sufficient to provide the required amounts of all the colors and gray. Note that all grays are considered equal, so in order to find the minimum number of kits for a test case you may need to make grays using different combinations of three distinct colors.

Sample Input

3 40 95 21 0 7 25 60 400 250 0 60 0 500 4 90 95 75 95 10 4 90 95 75 95 11 5 0 0 0 0 0 333 0

Sample Output

2 8 2 3 4

思路:

首先考虑假如没有灰色这种这种颜料,以需要最多的那种颜料为标准就可以求出需要几套颜料   

现在多了灰色,以需要最多的那种颜料为标准选择的那些套数,其他颜料肯定有剩余,可以用其他颜料来混合成灰色颜料

但是要注意的有两点,我们的目的其实是使浪费的颜料最少,每次取多的颜料来进行混合,以使各种颜料能够保证同幅减少,同时每一次只混合1ml,这样可以保证最后剩余的只是1ml ,如果以kml来进行混合,那么最后剩余的颜料是<k.

所以贪心策略就可以确定了,一是每一次混合最多的三种颜料   二是每次只混合1ml;

代码:

#include <iostream> #include <cstdio> #include <cstring> #include <algorithm> using namespace std; bool cmp(int a,int b) { return a>b; } int main() { int n,m,sum,a[15],b[15];//b是剩下的颜料 while(scanf("%d",&n)!=EOF) { if(n==0)break; for(int i=0; i<n; i++) scanf("%d",&a[i]); scanf("%d",&m); sort(a,a+n); if(a[n-1]P==0) sum=a[n-1]/50; else sum=a[n-1]/50+1; for(int i=0; i<n; i++) b[i]=sum*50-a[i]; int x=0;//灰色颜料的毫升数 while(x<m)//每次用最多的剩余颜料一毫升一毫升的混合 { if(b[2]==0||b[0]==0||b[1]==0) { sum+=1; for(int i=0; i<n; i++) b[i]+=50; } else { x++; b[0]--; b[1]--; b[2]--; sort(b,b+n,cmp); } } printf("%d\n",sum); } return 0; }
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