http://acm.sdut.edu.cn/sdutoj/problem.php?action=showproblem&problemid=1451
题意:中文.....
思路:
pku有一道题,经典的括号匹配(区间DP)题目,那道题目是求的最长满足条件的子串的长度,那里的子串与这里的子串条件不一样。
详细:http://www.cnblogs.com/E-star/archive/2013/01/28/2879385.html
对于这个例子
)((())))(()())
pku的最长子串是12
而这里是6
这里我们是求的连续的满足的子串。
dp[i]表示0到i的最长的满足的连续的子串
则有:
if(str[i - dp[i - 1] - 1] == '(' && str[i] == ')') dp[i] = dp[i - dp[i - 1] - 1] + 2;
if (dp[i - dp[i - 1] - 2])
dp[i] += dp[i - dp[i - 1] - 2]
//#pragma comment(linker,"/STACK:327680000,327680000")
#include <iostream>
#include <cstdio>
#include <cmath>
#include <vector>
#include <cstring>
#include <algorithm>
#include <string>
#include <set>
#include <functional>
#include <numeric>
#include <sstream>
#include <stack>
#include <map>
#include <queue>#define CL(arr, val) memset(arr, val, sizeof(arr))#define ll long long
#define inf 0x7f7f7f7f
#define lc l,m,rt<<1
#define rc m + 1,r,rt<<1|1
#define pi acos(-1.0)
#define ll long long
#define L(x) (x) << 1
#define R(x) (x) << 1 | 1
#define MID(l, r) (l + r) >> 1
#define Min(x, y) (x) < (y) ? (x) : (y)
#define Max(x, y) (x) < (y) ? (y) : (x)
#define E(x) (1 << (x))
#define iabs(x) (x) < 0 ? -(x) : (x)
#define OUT(x) printf("%I64d\n", x)
#define lowbit(x) (x)&(-x)
#define Read() freopen("din.txt", "r", stdin)
#define Write() freopen("dout.txt", "w", stdout);#define N 1000007
using namespace std;int dp[N];
int ans,num;
char str[N];
int n;int main()
{// Read();int i;while (~scanf("%s",str)){n = strlen(str);CL(dp,0);num = 0; ans = 0;for (i = 1; i < n; ++i){if (i - dp[i - 1] - 1 >= 0 && str[i - dp[i - 1] - 1] == '(' && str[i] == ')'){dp[i] = dp[i - 1] + 2;if (i - dp[i - 1] - 2 >= 0 && dp[i - dp[i - 1] -2] != 0){dp[i] += dp[i - dp[i - 1] - 2];}}if (ans < dp[i]){ans = dp[i];num = 1;}else if (ans == dp[i]) num++;}if (ans == 0) printf("0 1\n");elseprintf("%d %d\n",ans,num);}return 0;}