2013-2014 ACM-ICPC, NEERC, Southern Subregional Contest Problem H. Password Service dp

Problem H. Password Service

题目连接：

http://www.codeforces.com/gym/100253

Description

Startups are here, startups are there. Startups are everywhere! Polycarp would like to have his own

startup, too. His business idea is a password service. Have you noticed how many hours you spent trying

to create a password?

Polycarp's service will help clients to create a password by requirements. He is thinking about a freemium

business model of monetization. He doesn't know what it is, but he likes the word freemium.

The rst release of Polycarp's startup should have a simple form with two elds. The rst eld is for n,

where n denotes that the required password can consist of only rst n lowercase letters from the Latin

alphabet. The second form eld is for string s containing the characters <', >' and `='. The sign in position

i denotes the comparison result of the i-th and the (i + 1)-th character in the password. So if the length

of s is l then the required password should consist of exactly l + 1 lowercase letters.

Polycarp oers you a great position in his startup, he oers you to become the CTO. Polycarp can't oer

you a great salary (just only $1), but he will give you so many stock options that in case of IPO exit

you will be a millionaire! Why not? So your task is to write a program to generate a password containing

some of the rst n lowercase letters of the Latin alphabet and which has s as a result of comparisons of

consecutive characters

Input

The rst line of the input contains an integer number n (1 ≤ n ≤ 26), where n denotes that the required

password should contain only lowercase letters from the rst n letters of the Latin alphabet. The second

line contains the string s (the length of s is between 1 and 5000, inclusive), where s consists of the

characters <', >' and `='. The i-th character stands for the result of comparison of the i-th and the

(i + 1)-th characters of the password.

Output

Print the required password or -1 if it doesn't exist. You may print any answer in case of multiple answers.

Sample Input

5

=<>

Sample Output

bbdc

Hint

题意

给你一个字符串，你可以用n个字符。

要求满足字符串所给的大小关系表示。

题解：

dp，dp[i][j]表示第i个位置用第j个字符可不可行。

然后转移就行了。

其实贪心好像也可以，懒得去想了……

代码

#include<bits/stdc++.h>
using namespace std;
const int maxn = 5005;
char s[maxn];
int p[maxn][26];
pair<int,int> re[maxn][26];
int N,n;
vector<int>ans;
void dfs(int x,int y,int rx,int ry)
{
    if(p[x][y])return;
    p[x][y]=1;
    re[x][y]=make_pair(rx,ry);
    if(x==n)return;
    if(s[x+1]=='=')
        dfs(x+1,y,x,y);
    if(s[x+1]=='<')
    {
        for(int j=y+1;j<N;j++)
            dfs(x+1,j,x,y);
    }
    if(s[x+1]=='>')
    {
        for(int j=y-1;j>=0;j--)
            dfs(x+1,j,x,y);
    }
}
int flag = 0;
void dfs2(int x,int y)
{
    if(flag)return;
    if(re[x][y].first==-1)
    {
        flag = 1;
        reverse(ans.begin(),ans.end());
        for(int i=0;i<ans.size();i++)
        {
            printf("%c",ans[i]+'a');
        }
        printf("\n");
        return;
    }
    ans.push_back(re[x][y].second);
    dfs2(re[x][y].first,re[x][y].second);
}
int main(){
    scanf("%d",&N);
    scanf("%s",s+1);
    n = strlen(s+1);
    for(int i=0;i<N;i++)
        dfs(0,i,-1,-1);
    for(int i=0;i<N;i++)
    {
        if(p[n][i])
        {
            ans.push_back(i);
            dfs2(n,i);
            ans.pop_back();
            return 0;
        }
    }
    if(!flag)printf("-1");
}