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  • UVa12124 Assemble

                                      Problem A - Assemble

                                                                                   Time limit: 2 seconds

    Recently your team noticed that the computer you use to practice for programming contests is not good enough anymore. Therefore, you decide to buy a new computer.

    To make the ideal computer for your needs, you decide to buy separate components and assemble the computer yourself. You need to buy exactly one of each type of component.

    The problem is which components to buy. As you all know, the quality of a computer is equal to the quality of its weakest component. Therefore, you want to maximize the quality of the component with the lowest quality, while not exceeding your budget.

    Input

    On the first line one positive number: the number of testcases, at most 100. After that per testcase:

    • One line with two integers: 1 ≤ n ≤ 1000, the number of available components and 1 ≤ b ≤ 1000000000, your budget.
    • n lines in the following format: ``type name price quality'', where type is a string with the type of the component, name is a string with the unique name of the component, price is an integer (0 ≤ price < 1000000) which represents the price of the component and quality is an integer (0 ≤ quality ≤ 1000000000) which represents the quality of the component (higher is better). The strings contain only letters, digits and underscores and have a maximal length of 20 characters.

    It will always possible to construct a computer with your budget.

    Output

    Per testcase:

    • One line with one integer: the maximal possible quality.

    Sample Input

    1
    18 800
    processor 3500_MHz 66 5
    processor 4200_MHz 103 7
    processor 5000_MHz 156 9
    processor 6000_MHz 219 12
    memory 1_GB 35 3
    memory 2_GB 88 6
    memory 4_GB 170 12
    mainbord all_onboard 52 10
    harddisk 250_GB 54 10
    harddisk 500_FB 99 12
    casing midi 36 10
    monitor 17_inch 157 5
    monitor 19_inch 175 7
    monitor 20_inch 210 9
    monitor 22_inch 293 12
    mouse cordless_optical 18 12
    mouse microsoft 30 9
    keyboard office 4 10
    

    Sample Output

    9
    
    The 2007 ACM Northwestern European Programming Contest
    题目大意:你有b块钱,想要组装一个电脑,给出N个配件的种类,名称,价格,品质因子。要求每一类配件选取一件,总价格不得超过b元,使得品质最差配件的品质因子尽量大。
    题解:其实就是最小值最大的问题,解决这个此类问题的常用方法就是二分答案。
    View Code
     1 #include<stdio.h>
     2 #include<string.h>
     3 #define MAXN 1005
     4 typedef struct
     5 {
     6     char type[25];
     7     char name[25];
     8     long price;
     9     long qua;
    10 } NODE;
    11 NODE f[MAXN];
    12 long maxqua,n,b;
    13 long min(long a,long b)
    14 {
    15     return a<b?a:b;
    16 }
    17 int check(long x)
    18 {
    19     long i,sum,cheapest,j;
    20     int visit[MAXN];
    21     sum=0;
    22     i=0;
    23     memset(visit,0,sizeof(visit));
    24     for(i=0; i<n; i++)
    25         if(!visit[i])
    26         {
    27             if(f[i].qua>=x) cheapest=f[i].price;
    28             else
    29                 cheapest=b+1;
    30             for(j=i+1; j<n; j++)
    31                 if(!visit[j]&&strcmp(f[i].type,f[j].type)==0)
    32                 {
    33                     visit[j]=1;
    34                     if(f[j].qua>=x)
    35                         cheapest=min(cheapest,f[j].price);
    36                 }
    37             if(cheapest==b+1) return 0;
    38             sum+=cheapest;
    39             if(sum>b) return 0;
    40         }
    41     return 1;
    42 }
    43 int main(void)
    44 {
    45     long i,m,T,l,r;
    46     scanf("%ld",&T);
    47     while(T--)
    48     {
    49         scanf("%ld%ld",&n,&b);
    50         maxqua=-100000;
    51         for(i=0; i<n; i++)
    52         {
    53 
    54             getchar();
    55             scanf("%s%s%ld%ld",f[i].type,f[i].name,&f[i].price,&f[i].qua);
    56             if(f[i].qua>maxqua) maxqua=f[i].qua;
    57         }
    58         l=0;
    59         r=maxqua;
    60         while(l<r)
    61         {
    62             m=l+(r-l+1)/2;
    63             if(check(m)) l=m;
    64             else
    65                 r=m-1;
    66         }
    67         printf("%ld\n",l);
    68     }
    69     return 0;
    70 }
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  • 原文地址:https://www.cnblogs.com/zjbztianya/p/2976197.html
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