Sicily 2014年每周一赛第一场

╰+哭是因爲堅強的太久メ 2022-08-25 10:50 140阅读 0赞

比较苦逼、爆0了、、总结一下吧、

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   <td style="font-family:Verdana; font-size:9pt; border:0px; padding:0px; width:15px; height:13px"> &nbsp;</td> 
   <td style="font-family:Verdana; font-size:9pt; border:0px; padding:0px; height:13px"> &nbsp;</td> 
   <td style="font-family:Verdana; font-size:9pt; border:0px; padding:0px; width:15px; height:13px"> &nbsp;</td> 
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   <td style="font-family:Verdana; border:0px; padding:0px; width:15px; color:rgb(51,51,51)"> &nbsp;</td> 
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     <div style="padding:5px"> 
      <div style="float:right; font-size:12pt; font-weight:bold; margin-top:5px">
        Time Limit: 1sec &nbsp;&nbsp; Memory Limit:256MB 
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      <div style="color:rgb(0,93,169); font-size:15pt; font-weight:bold; text-decoration:underline; margin-bottom:5px">
        Description 
      </div> 
      <div style="font-family:Arial; font-size:12pt; line-height:15pt; margin-bottom:10px; margin-left:10px"> 
       <div>
         Mirko has given up on the difficult coach job and switched to food tasting instead. Having skipped breakfast like a professional connoisseur, he is visiting a Croatian cured meat festival. The most renowned cook at the festival, Marijan Bajs, has prepared N equal sausages which need to be distributed to M tasters such that each taster gets a precisely equal amount. He will use his trusted knife to cut them into pieces.&nbsp; 
       </div> 
       <div>
         In order to elegantly divide the sausages, the number of cuts splitting individual sausages must be as small as possible. For instance, if there are two sausages and six tasters (the first test case below), it is sufficient to split each sausage into three equal parts, making a total of four cuts. On the other hand, if there are three sausages and four tasters (the second test case below), one possibility is cutting off three quarters of each sausage. Those larger parts will each go to one of the tasrers, while the fourth taster will get the three smaller pieces (quarters) left over. 
       </div> 
       <div>
         Mirko wants to try the famous sausages, so he volunteered to help Bajs. Help them calculate the minimum total number of cuts needed to carry out the desired division.&nbsp; 
       </div> 
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         &nbsp; 
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      <div style="color:rgb(0,93,169); font-size:15pt; font-weight:bold; text-decoration:underline; margin-bottom:5px">
        Input 
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      <div style="font-family:Arial; font-size:12pt; line-height:15pt; margin-bottom:10px; margin-left:10px"> 
       <p>The first and only line of input contains two positive integers, N and M (1 ≤ N, M ≤ 100), the number of sausages and tasters, respectively.</p> 
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      <div style="color:rgb(0,93,169); font-size:15pt; font-weight:bold; text-decoration:underline; margin-bottom:5px">
        Output 
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      <div style="font-family:Arial; font-size:12pt; line-height:15pt; margin-bottom:10px; margin-left:10px"> 
       <p>The first and only line of output must contain the required minimum number of cuts.</p> 
      </div> 
      <div style="color:rgb(0,93,169); font-size:15pt; font-weight:bold; text-decoration:underline; margin-bottom:5px">
        Sample Input 
      </div> 
      <div> 
       <img alt="" style="border:0px; vertical-align:middle">&nbsp;Copy sample input to clipboard 
      </div> 
      <div style="overflow:auto"> 
       <pre style="overflow:auto; font-family:'Courier New',monospace; font-size:12pt; line-height:15pt; border:1px solid; margin-left:10px">样例1：
2 6
样例2：
3 4
样例3：
6 2
</pre> 
      </div> 
      <div style="color:rgb(0,93,169); font-size:15pt; font-weight:bold; text-decoration:underline; margin-bottom:5px">
        Sample Output 
      </div> 
      <div style="overflow:auto"> 
       <pre style="overflow:auto; font-family:'Courier New',monospace; font-size:12pt; line-height:15pt; border:1px solid; margin-left:10px">样例1：
4
样例2：
3
样例3：
0
</pre> 
      </div> 
      <h3>题意就是给你n个香肠，让你平均的分给m个人。问你最少要切几刀？ &nbsp; 题目很水！最近做数学题目做的多了。</h3> 
      <h3>以为推一个公式呢。其实不是，就是用一个循环无限分的情况！</h3> 
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       <span style="font-size:14px">首先n%m==0 ans=0；</span> 
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       <span style="font-size:14px">n&gt;m时 每人得到一个完整的香肠，剩下的n=n%m;的进行平均分配！下一种情况。</span> 
      </div> 
      <div> 
       <span style="font-size:14px">n&lt;m时，如果m%n==0，则每个香肠切m/n-1,否则为m/n;</span> 
      </div> 
      <div> 
       <span style="font-size:14px">然后将剩下的香肠用上面的方法分给剩下的m=m%n个人，直到m==0结束，即所有人都分完为止。</span> 
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      <div> 
       <span style="font-size:14px">代码：</span> 
      </div> 
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#include<stdio.h>
    int main()
    {
        int N, M;
        while(~scanf("%d%d",&N,&M))
        {
            int ans = 0;
            while(N % M != 0) 
            {
                if(N > M)
                    N = N % M;
                int s = M%N == 0 ? M / N -1 : M / N;
                M = M % N;
                ans = ans + s * N;
                if(M == 0)
                    break;
            }
            printf("%d\n",ans);
        }
    }

我的错的推公式的代码：

#include <cstdio>
    int main()
    {
        int n,m;
        while(~scanf("%d%d",&n,&m))
        {
            if(n==0||m==0)
            {
                printf("0\n");continue;
            }
            int ans=0;
            if(n<m)
            {
                if(m%n==0)
                    ans=(m/n-1)*n;
                else
                {
                    ans=n*(m/n)+n%(m%n);
                }
            }
            else
            {
                if(n%m==0)
                    ans=0;
                else
                {
                    n=n%m;
                    if(m%n==0)
                        ans=(m/n-1)*n;
                    else
                    {
                        ans=n*(m/n)+n%(m%n);
                    }
                }
            }
            printf("%d\n",ans);
        }
        return 0;
    }

下面做的c题。感觉是一道贪心题目，但是数据很大。超时了。想不到用什么数据结构优化。

# 10359. Valuable Jewellery #

# Constraints #

Time Limit: 2 secs, Memory Limit: 256 MB

# Description #

The difficult economic situation in the country and reductions in government agricultural subsidy funding

have caused Mirko to change his career again, this time to a thief. His first professional endeavour is a

jewellery store heist.  
The store contains N pieces of jewellery, and each piece has some mass Mi and value Vi . Mirko has K bags

to store his loot, and each bag can hold some maximum mass Ci . He plans to store all his loot in these bags,

but at most one jewellery piece in each bag, in order to reduce the likelihood of damage during the escape.  
Find the maximum total jewellery value that Mirko can “liberate”.

# Input #

The first line of input contains two numbers, N and K (1 ≤ N, K ≤ 300 000).  
Each of the following N lines contains a pair of numbers, Mi and Vi (1 ≤ Mi , Vi ≤ 1 000 000).  
Each of the following K lines contains a number, Ci (1 ≤ Ci ≤ 100 000 000).  
All numbers in the input are positive integers.

# Output #

The first and only line of output must contain the maximum possible total jewellery value.

# Sample Input #

样例1：
    2 1
    5 10
    100 100
    11
    样例2：
    3 2
    1 65
    5 23
    2 99
    10
    2

# Sample Output #

样例1：
    10
    样例2：
    164

# Hint #

Clarification of the second example: Mirko stores the first piece of jewellery into the second bag and

the third piece into the first bag.

题意很好懂，给出n个珠宝的价格和重量。和k个能装t重量的袋子。条件是一个袋子只能装一个珠宝。问怎样装使得价值最大。

想到的就是按价值从大到小排序，价值相同的按重量从大到小排序，然后袋子能装的重量从小到大排序，然后依次选能够装进去的，标记。最后算出ans。

但是超时了。求大神指点。

#include <cstdio>
    #include <algorithm>
    #include <cstring>
    using namespace std;
    
    struct Node
    {
        int wi,vi;
        int ok;
    };
    Node a[303000];
    int bag[303000];
    int comp(Node x,Node y)
    {
        if(x.vi!=y.vi)
            return x.vi>y.vi;
        if(x.wi!=y.wi)
            return x.wi>y.wi;
    }
    
    int main()
    {
        int n,k;
        while(~scanf("%d%d",&n,&k))
        {
            for(int i=0;i<n;i++)
            {
                scanf("%d%d",&a[i].wi,&a[i].vi);
                a[i].ok=0;
            }
            for(int i=0;i<k;i++)
                scanf("%d",&bag[i]);
            sort(bag,bag+k);
            sort(a,a+n,comp);
            int ans=0;
            for(int i=0;i<k;i++)
            {
                for(int j=0;j<n;j++)
                {
                    if(bag[i]>=a[j].wi&&a[j].ok==0)
                    {
                        ans+=a[j].vi;a[j].ok=1;
                        break;
                    }
                }
            }
            printf("%d\n",ans);
        }
        return 0;
    }