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HDU 3177 Crixalis's Equipment(贪心)

时间:2014-09-17 20:28:52      阅读:248      评论:0      收藏:0      [点我收藏+]

标签:hdu   贪心   

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=3177


Problem Description
bubuko.com,布布扣Crixalis - Sand King used to be a giant scorpion(蝎子) in the deserts of Kalimdor. Though he‘s a guardian of Lich King now, he keeps the living habit of a scorpion like living underground and digging holes.

Someday Crixalis decides to move to another nice place and build a new house for himself (Actually it‘s just a new hole). As he collected a lot of equipment, he needs to dig a hole beside his new house to store them. This hole has a volume of V units, and Crixalis has N equipment, each of them needs Ai units of space. When dragging his equipment into the hole, Crixalis finds that he needs more space to ensure everything is placed well. Actually, the ith equipment needs Bi units of space during the moving. More precisely Crixalis can not move equipment into the hole unless there are Bi units of space left. After it moved in, the volume of the hole will decrease by Ai. Crixalis wonders if he can move all his equipment into the new hole and he turns to you for help.
 
Input
The first line contains an integer T, indicating the number of test cases. Then follows T cases, each one contains N + 1 lines. The first line contains 2 integers: V, volume of a hole and N, number of equipment respectively. The next N lines contain N pairs of integers: Ai and Bi.
0<T<= 10, 0<V<10000, 0<N<1000, 0 <Ai< V, Ai <= Bi < 1000.
 
Output
For each case output "Yes" if Crixalis can move all his equipment into the new hole or else output "No".
 
Sample Input
2 20 3 10 20 3 10 1 7 10 2 1 10 2 11
 
Sample Output
Yes No
 
Source


题意:

向一个容量为V的洞中放如入物品,每件物品有一个停放体积和一个可移动体积,问能否放下所有的物品?


思路:—— 贪心

                                   停放体积         移动体积

                  第一件物品          a1             b1

  

                  第二件物品          a2             b2

假设这两件物品的移动体积都不大于洞的体积V

那么将单独比较两个物品的时候会发现:  a1+b2为先放第一件物品,后放第二件物品的最大瞬时体积

                                                        a2+b1为先放第二件物品,后放第一件物品的最大瞬时体积

那么我们就应该选择a1+b2和a2+b1中比较小的先放。

那么从2件物品,扩展到n件物品 假设n件物品的移动体积都不大于洞的体积V,

将N件物品按照a1+b2 < a2+b1进行排序,(其实就是按照差值的大小)然后依次放入洞中。

PS: 

如果只是单纯的按照Bi从大到小排序的话为WA;

看看这个案例就明白了!

21 2

8 18

1 20

Yes


代码如下:

#include <cstdio>
#include <algorithm>
#include <iostream>
#include <cstring>
using namespace std;
struct num
{
    int a, b;
} p[1017];
bool cmp(num A, num B)
{
    return A.b-A.a > B.b-B.a;
}
int main()
{
    int t;
    int v, n;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d %d",&v,&n);
        for(int i = 0; i < n; i++)
        {
            scanf("%d %d",&p[i].a,&p[i].b);
        }
        sort(p,p+n,cmp);
        int i;
        for(i = 0; i < n; i++)
        {
            if(v >= p[i].b)
            {
                v-=p[i].a;
            }
            else
                break;
        }
        if(i == n)
            printf("Yes\n");
        else
            printf("No\n");
    }
    return 0;
}


HDU 3177 Crixalis's Equipment(贪心)

标签:hdu   贪心   

原文地址:http://blog.csdn.net/u012860063/article/details/39346979

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