Flying to the Mars
Time Limit: 5000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 18240 Accepted Submission(s): 5877
Problem Description
In
the year 8888, the Earth is ruled by the PPF Empire . As the
population growing , PPF needs to find more land for the newborns .
Finally , PPF decides to attack Kscinow who ruling the Mars . Here the
problem comes! How can the soldiers reach the Mars ? PPF convokes his
soldiers and asks for their suggestions . “Rush … ” one soldier answers.
“Shut up ! Do I have to remind you that there isn’t any road to the
Mars from here!” PPF replies. “Fly !” another answers. PPF smiles
:“Clever guy ! Although we haven’t got wings , I can buy some magic
broomsticks from HARRY POTTER to help you .” Now , it’s time to learn to
fly on a broomstick ! we assume that one soldier has one level number
indicating his degree. The soldier who has a higher level could teach
the lower , that is to say the former’s level > the latter’s . But
the lower can’t teach the higher. One soldier can have only one teacher
at most , certainly , having no teacher is also legal. Similarly one
soldier can have only one student at most while having no student is
also possible. Teacher can teach his student on the same broomstick
.Certainly , all the soldier must have practiced on the broomstick
before they fly to the Mars! Magic broomstick is expensive !So , can
you help PPF to calculate the minimum number of the broomstick needed .
For example :
There are 5 soldiers (A B C D E)with level numbers : 2 4 5 6 4;
One method :
C could teach B; B could teach A; So , A B C are eligible to study on the same broomstick.
D could teach E;So D E are eligible to study on the same broomstick;
Using this method , we need 2 broomsticks.
Another method:
D could teach A; So A D are eligible to study on the same broomstick.
C could teach B; So B C are eligible to study on the same broomstick.
E with no teacher or student are eligible to study on one broomstick.
Using the method ,we need 3 broomsticks.
……
After checking up all possible method, we found that 2 is the minimum number of broomsticks needed.
Input
Input file contains multiple test cases.
In a test case,the first line contains a single positive number N indicating the number of soldiers.(0<=N<=3000)
Next
N lines :There is only one nonnegative integer on each line ,
indicating the level number for each soldier.( less than 30 digits);
Output
For each case, output the minimum number of broomsticks on a single line.
Sample Input
4
10
20
30
04
5
2
3
4
3
4
Sample Output
1
2
Author
[email protected]
题意：
速度大小递增的分在一个集合里，即速度大小不同的才能在一个集合里，问最少分几个集合。
代码：
1 //本质就是找最多有多少相同的数字。处理前导零，还有这个数就是0的情况；又糊涂了，竟然把每个经过的点都加了一，只加最后一个才能标记一个数啊！！！
2 #include<iostream>
3 #include<cstdio>
4 #include<cstring>
5 #include<malloc.h>
6 using namespace std;
7 struct Trie
8 {
9 int v;
10 Trie *next[10];
11 };
12 Trie *root;
13 void init()
14 {
15 root=new Trie;
16 for(int i=0;i<10;i++)
17 root->next[i]=NULL;
18 root->v=0;
19 }
20 int Tinsert(char s[])
21 {
22 int len=strlen(s),j=0;
23 Trie *p=root,*q;
24 for(int i=0;i<len;i++)
25 {
26 if(s[i]!=‘0‘||i==len-1)
27 {
28 j=i;
29 break;
30 }
31 }
32 for(int i=j;i<len;i++)
33 {
34 int id=s[i]-‘0‘;
35 if(p->next[id]==NULL)
36 {
37 q=new Trie;
38 q->v=0;
39 for(int i=0;i<10;i++)
40 q->next[i]=NULL;
41 p->next[id]=q;
42 }
43 p=p->next[id];
44 }
45 p->v++;
46 return p->v;
47 }
48 void Tdelete(Trie *t)
49 {
50 if(t==NULL)
51 return;
52 for(int i=0;i<10;i++)
53 if(t->next[i]!=NULL)
54 Tdelete(t->next[i]);
55 free(t);
56 }
57 int main()
58 {
59 int n;
60 char ch[33];
61 while(scanf("%d",&n)!=EOF)
62 {
63 init();
64 int ans=0;
65 for(int i=0;i<n;i++)
66 {
67 scanf("%s",ch);
68 int tem=Tinsert(ch);
69 if(tem>ans) ans=tem;
70 }
71 printf("%d\n",ans);
72 Tdelete(root);
73 }
74 return 0;
75 }