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  • Find them, Catch them 并查集

    Problem Description
    The police office in Tadu City decides to say ends to the chaos, as launch actions to root up the TWO gangs in the city, Gang Dragon and Gang Snake. However, the police first needs to identify which gang a criminal belongs to. The present question is, given two criminals; do they belong to a same clan? You must give your judgment based on incomplete information. (Since the gangsters are always acting secretly.) 

    Assume N (N <= 10^5) criminals are currently in Tadu City, numbered from 1 to N. And of course, at least one of them belongs to Gang Dragon, and the same for Gang Snake. You will be given M (M <= 10^5) messages in sequence, which are in the following two kinds: 

    1. D [a] [b] 
    where [a] and [b] are the numbers of two criminals, and they belong to different gangs. 

    2. A [a] [b] 
    where [a] and [b] are the numbers of two criminals. This requires you to decide whether a and b belong to a same gang. 
     
    Input
    The first line of the input contains a single integer T (1 <= T <= 20), the number of test cases. Then T cases follow. Each test case begins with a line with two integers N and M, followed by M lines each containing one message as described above.
     
    Output
    For each message "A [a] [b]" in each case, your program should give the judgment based on the information got before. The answers might be one of "In the same gang.", "In different gangs." and "Not sure yet."
     
    Sample Input
    1 5 5 A 1 2 D 1 2 A 1 2 D 2 4 A 1 4
     
    Sample Output
    Not sure yet. In different gangs. In the same gang.
    *****************************************************************************************************************************************************************************************************************
     1 #include<iostream>
     2 #include<string>
     3 #include<cstring>
     4 #include<cstdio>
     5 #include<queue>
     6 using namespace std;
     7 int p[101010];
     8 int r[100100];
     9 int n,m;
    10 int find(int x)
    11 {
    12    if(p[x]==x)return x;
    13    int t=p[x];
    14    p[x]=find(p[x]);
    15    r[x]=(r[x]+r[t])%2;
    16    return p[x];
    17 }
    18 void  Unon(int x,int y)
    19 {
    20     int r1=find(x);
    21     int r2=find(y);
    22     p[r1]=r2;
    23     r[r1]=(r[x]+1+r[y])%2;//记住因为此时两队,可用两数相加
    24 
    25 }
    26 
    27 void  set1()
    28 {
    29    for(int i=1;i<=n;i++)
    30    {
    31       p[i]=i;
    32       r[i]=0;
    33    }
    34 }
    35 
    36 int main()
    37 {
    38   int Cas;
    39   char str1;
    40   int a,b;
    41   scanf("%d",&Cas);
    42   while(Cas--)
    43   {
    44     scanf("%d%d%*c",&n,&m);
    45     set1();
    46     for(int i=1;i<=m;i++)
    47     {
    48        scanf("%c%d%d%*c",&str1,&a,&b);
    49        if(str1=='A')
    50        {
    51          if(find(a)==find(b))
    52          {
    53            if(r[a]!=r[b])
    54             printf("In different gangs.
    ");
    55            else
    56             printf("In the same gang.
    ");
    57          }
    58          else
    59           {
    60             printf("Not sure yet.
    ");
    61           }
    62        }
    63        else
    64          if(str1=='D')
    65           Unon(a,b);
    66     }
    67   }
    68 }
    View Code
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  • 原文地址:https://www.cnblogs.com/sdau--codeants/p/3488442.html
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