POJ 1141 Brackets Sequence 区间dp

#include <cstdlib>
#include <cctype>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <algorithm>
#include <vector>
#include <string>
#include <iostream>
#include <sstream>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <fstream>
#include <numeric>
#include <iomanip>
#include <bitset>
#include <list>
#include <stdexcept>
#include <functional>
#include <utility>
#include <ctime>

using namespace std;

#define PB push_back
#define MP make_pair
#define REP(i,n) for(int i=0;i<(n);++i)
#define FOR(i,l,h) for(int i=(l);i<=(h);++i)
#define DWN(i,h,l) for(int i=(h);i>=(l);--i)
#define CLR(vis) memset(vis,0,sizeof(vis))
#define MST(vis,pos) memset(vis,pos,sizeof(vis))
#define MAX3(a,b,c) max(a,max(b,c))
#define MAX4(a,b,c,d) max(max(a,b),max(c,d))
#define MIN3(a,b,c) min(a,min(b,c))
#define MIN4(a,b,c,d) min(min(a,b),min(c,d))
#define PI acos(-1.0)
#define INF 0x7FFFFFFF
#define LINF 1000000000000000000LL
#define eps 1e-8

typedef long long LL;

int dp[111][111];
int path[111][111];
char s[111];

void print(int i, int j)
{
    if(i>j) return;
    if(i==j)
    {
        if(s[i]=='(' || s[i]==')') cout<<"()";
        else cout<<"[]";
    }
    else
    {
        if(path[i][j]>=0)
        {
            print(i,path[i][j]);
            print(path[i][j]+1, j);
        }
        else
        {
            if(s[i]=='(')
            {
                cout<<"(";
                print(i+1,j-1);
                cout<<")";
          }
          else
          {
                cout<<"[";
                print(i+1, j-1);
                cout<<"]";
            }
        }
    }
}

int main()
{
        scanf("%s",s+1);

        int n=strlen(s+1);
        CLR(dp);
        FOR(i,1,n)
         dp[i][i]=1;
        FOR(p,1,n-1)
        {
            FOR(i,1,n-p)
            {
                int j=i+p;
                dp[i][j]=INF;
                if((s[i]=='(' && s[j]==')' ) ||  (s[i]=='[' && s[j]==']' ) )
                {
                    dp[i][j]=min(dp[i][j],dp[i+1][j-1]);
                    path[i][j]=-1;
                }
                FOR(k,i,j-1)
                {
                    //dp[i][j]=min(dp[i][j],dp[i][k]+dp[k+1][j]);
                    if(dp[i][k]+dp[k+1][j]<dp[i][j])
                    {
                        dp[i][j]=dp[i][k]+dp[k+1][j];
                        path[i][j]=k;
                    }
                }
            }
        }
        print(1,n);
        cout<<endl;

    return 0;
}