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Best Cow Line(POJ-3617)

發(fā)布時間:2025/3/17 编程问答 19 豆豆
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Problem Description

FJ is about to take his N (1 ≤ N ≤ 2,000) cows to the annual"Farmer of the Year" competition. In this contest every farmer arranges his cows in a line and herds them past the judges.

The contest organizers adopted a new registration scheme this year: simply register the initial letter of every cow in the order they will appear (i.e., If FJ takes Bessie, Sylvia, and Dora in that order he just registers BSD). After the registration phase ends, every group is judged in increasing lexicographic order according to the string of the initials of the cows' names.
FJ is very busy this year and has to hurry back to his farm, so he wants to be judged as early as possible. He decides to rearrange his cows, who have already lined up, before registering them.
FJ marks a location for a new line of the competing cows. He then proceeds to marshal the cows from the old line to the new one by repeatedly sending either the first or last cow in the (remainder of the) original line to the end of the new line. When he's finished, FJ takes his cows for registration in this new order.
Given the initial order of his cows, determine the least lexicographic string of initials he can make this way.

Input

Line 1: A single integer: N

Lines 2..N+1: Line i+1 contains a single initial ('A'..'Z') of the cow in the ith position in the original line

Output

The least lexicographic string he can make. Every line (except perhaps the last one) contains the initials of 80 cows ('A'..'Z') in the new line.

Sample Input

6

A
C
D
B
C
B

Sample Output

ABCBCD

題意:給出長度為n的字符串,要構(gòu)建一個新串,有兩種操作,要么將原來第一個字符加到新字符串尾部,要么將原來最后一個字符加到新串尾部,要求最后得到的字符串的字典序最小。注意字符串滿80個字母后視為新串。

思路

一開始沒讀懂題,不知道什么是字典序,后來查了一下才知道字典序是指從前到后比較兩個字符串大小的方法,即:首先比較第一個字符大小,如果不同則第一個字符小的字符串更小,如果相同則比較第二個……以此類推。

明白后發(fā)現(xiàn)原來是水題一枚,貪心思想反復(fù)比較前后字符串大小輸出即可。

Source Program

#include<iostream> #include<cstdio> #include<cstring> #include<cmath> #include<algorithm> #include<string> #include<cstdlib> #include<queue> #include<vector> #define INF 0x3f3f3f3f #define PI acos(-1.0) #define N 2001 #define MOD 123 #define E 1e-6 using namespace std; char str[N]; int main() {int n;while(scanf("%d",&n)!=EOF){for(int i=0;i<n;i++)cin>>str[i];int left=0,right=n-1;int cnt=0;while(left<=right){bool flag=false;for(int i=0;i+left<=right;i++){if(str[i+left]<str[right-i]){flag=true;break;}else if(str[i+left]>str[right-i]){flag=false;break;}}if(flag)cout<<str[left++];elsecout<<str[right--];cnt++;if(cnt==80){cout<<endl;cnt=0;}}}return 0; }

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