Python实现Pat 1034. Head of a Gang (30)

怼烎@ 2022-06-04 08:37 163阅读 0赞

### [题目][Link 1] ###

One way that the police finds the head of a gang is to check people’s phone calls. If there is a phone call between A and B, we say that A and B is related. The weight of a relation is defined to be the total time length of all the phone calls made between the two persons. A “Gang” is a cluster of more than 2 persons who are related to each other with total relation weight being greater than a given threshold K. In each gang, the one with maximum total weight is the head. Now given a list of phone calls, you are supposed to find the gangs and the heads.

Input Specification:

Each input file contains one test case. For each case, the first line contains two positive numbers N and K (both less than or equal to 1000), the number of phone calls and the weight threthold, respectively. Then N lines follow, each in the following format:

Name1 Name2 Time

where Name1 and Name2 are the names of people at the two ends of the call, and Time is the length of the call. A name is a string of three capital letters chosen from A-Z. A time length is a positive integer which is no more than 1000 minutes.

Output Specification:

For each test case, first print in a line the total number of gangs. Then for each gang, print in a line the name of the head and the total number of the members. It is guaranteed that the head is unique for each gang. The output must be sorted according to the alphabetical order of the names of the heads.

Sample Input 1:  
8 59  
AAA BBB 10  
BBB AAA 20  
AAA CCC 40  
DDD EEE 5  
EEE DDD 70  
FFF GGG 30  
GGG HHH 20  
HHH FFF 10  
Sample Output 1:  
2  
AAA 3  
GGG 3  
Sample Input 2:  
8 70  
AAA BBB 10  
BBB AAA 20  
AAA CCC 40  
DDD EEE 5  
EEE DDD 70  
FFF GGG 30  
GGG HHH 20  
HHH FFF 10  
Sample Output 2:  
0

### 解答 ###

def dfs(n):
        global visit,tree,gang
        for name in tree[n]:
            if visit[name]==False:
                gang.append(name)
                visit[name] = True
                dfs(name)
    
    tree={}
    visit={}
    N,K=[int(x) for x  in input().split(' ')]
    for i in range(N):
        a,b,c=input().split(' ')
        c=int(c)
        visit[a]=False
        visit[b]=False
        if a not in tree:
            tree[a]={}
            tree[a][b] = c
        elif b not in tree[a]:
            tree[a][b] = c
        else:
            tree[a][b] += c
        if b not in tree:
            tree[b]={}
            tree[b][a] = c
        elif a not in tree[b]:
            tree[b][a] = c
        else:
            tree[b][a] += c
    
    cnt=0
    heads={}
    for n in visit:
        if visit[n]==False:
            #深度搜索确定帮成员
            gang=[]
            gang.append(n)
            visit[n]=True
            dfs(n)
            head=''
            maxw=0
            sum_w=0
            if len(gang)>2:  #more than 2
                for a in gang:
                    weight=0
                    for b in tree[a]: #计算各成员的权重
                         weight+=tree[a][b]
                    if weight >maxw:
                         maxw=weight
                         head=a
                    sum_w+=weight
                if sum_w/2 >K:  #sun_w在循环中计算了两次
                    cnt+=1
                    heads[head]=len(gang)
    #将字典的所有项以列表返回，并对该列表进行排序
    new_heads = sorted(heads.items(), key=lambda d:d[0], reverse = False)
    print (cnt)
    for item in new_heads:
        print (item[0],item[1])

![这里写图片描述][SouthEast]

[Link 1]: https://www.patest.cn/contests/pat-a-practise/1034
[SouthEast]: /images/20220604/db5ef1b3fadf4044870503f5fa62e831.png