HDU 4296 Buildings 第37届ACM/ICPC 成都赛区网络赛1009题 （贪心）

Buildings

Time Limit: 5000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 155    Accepted Submission(s): 72

Problem Description

　　Have you ever heard the story of Blue.Mary, the great civil engineer? Unlike Mr. Wolowitz, Dr. Blue.Mary has accomplished many great projects, one of which is the Guanghua Building.
　　The public opinion is that Guanghua Building is nothing more than one of hundreds of modern skyscrapers recently built in Shanghai, and sadly, they are all wrong. Blue.Mary the great civil engineer had try a completely new evolutionary building method in project of Guanghua Building. That is, to build all the floors at first, then stack them up forming a complete building.
　　Believe it or not, he did it (in secret manner). Now you are face the same problem Blue.Mary once stuck in: Place floors in a good way.
　　Each floor has its own weight w_i and strength s_i. When floors are stacked up, each floor has PDV(Potential Damage Value) equal to (Σw_j)-s_i, where (Σw_j) stands for sum of weight of all floors above.
　　Blue.Mary, the great civil engineer, would like to minimize PDV of the whole building, denoted as the largest PDV of all floors.
　　Now, it’s up to you to calculate this value.

 

Input

　　There’re several test cases.
　　In each test case, in the first line is a single integer N (1 <= N <= 10⁵) denoting the number of building’s floors. The following N lines specify the floors. Each of them contains two integers w_i and s_i (0 <= w_i, s_i <= 100000) separated by single spaces.
　　Please process until EOF (End Of File).

 

Output

　　For each test case, your program should output a single integer in a single line - the minimal PDV of the whole building.
　　If no floor would be damaged in a optimal configuration (that is, minimal PDV is non-positive) you should output 0.

 

Sample Input

3 10 6 2 3 5 4 2 2 2 2 2 3 10 3 2 5 3 3

 

Sample Output

1 0 2

 

Source

2012 ACM/ICPC Asia Regional Chengdu Online

 

Recommend

liuyiding

 

贪心的题目。

很水，排序方法看代码。

我是一个一个试出来的，现在还没有证出来。

//1009
#include<stdio.h>
#include<iostream>
#include<map>
#include<set>
#include<algorithm>
#include<string.h>
#include<stdlib.h>
using namespace std;
const int MAXN=100010;
struct Node
{
    int w,s;
}tt[MAXN];


bool cmp2(Node a,Node b)
{
    return a.w - b.s< b.w - a.s;
}
int main()
{
    int n;
    while(scanf("%d",&n)!=EOF)
    {
        for(int i=0;i<n;i++)
          scanf("%d%d",&tt[i].w,&tt[i].s);
        sort(tt,tt+n,cmp2);
        long long ans=0;
        long long s=0;


        for(int i=0;i<n;i++)
        {
            if(s-tt[i].s>ans)ans=s-tt[i].s;
            s+=tt[i].w;
        }

        printf("%I64d\n",ans);
    }
    return 0;
}