• [CSU1809] Parenthesis(RMQ)


    题目链接:http://acm.csu.edu.cn/OnlineJudge/problem.php?id=1809

    题意:给一个长为n的匹配好的括号串,q个询问,每次询问交换一对括号。问交换后是否依然匹配。

    维护一个数组b和一个数,表示当前字符串下左右匹配过后左括号剩余的数量。更新的时候遇到左括号则++cnt,否则--cnt。交换l,r则在区间内查询[l,r-1],看看最小值是否是<2。

      1 /*
      2 ━━━━━┒ギリギリ♂ eye!
      3 ┓┏┓┏┓┃キリキリ♂ mind!
      4 ┛┗┛┗┛┃\○/
      5 ┓┏┓┏┓┃ /
      6 ┛┗┛┗┛┃ノ)
      7 ┓┏┓┏┓┃
      8 ┛┗┛┗┛┃
      9 ┓┏┓┏┓┃
     10 ┛┗┛┗┛┃
     11 ┓┏┓┏┓┃
     12 ┛┗┛┗┛┃
     13 ┓┏┓┏┓┃
     14 ┃┃┃┃┃┃
     15 ┻┻┻┻┻┻
     16 */
     17 #include <algorithm>
     18 #include <iostream>
     19 #include <iomanip>
     20 #include <cstring>
     21 #include <climits>
     22 #include <complex>
     23 #include <fstream>
     24 #include <cassert>
     25 #include <cstdio>
     26 #include <bitset>
     27 #include <vector>
     28 #include <deque>
     29 #include <queue>
     30 #include <stack>
     31 #include <ctime>
     32 #include <set>
     33 #include <map>
     34 #include <cmath>
     35 using namespace std;
     36 #define fr first
     37 #define sc second
     38 #define cl clear
     39 #define BUG puts("here!!!")
     40 #define W(a) while(a--)
     41 #define pb(a) push_back(a)
     42 #define Rint(a) scanf("%d", &a)
     43 #define Rll(a) scanf("%I64d", &a)
     44 #define Rs(a) scanf("%s", a)
     45 #define Cin(a) cin >> a
     46 #define FRead() freopen("in", "r", stdin)
     47 #define FWrite() freopen("out", "w", stdout)
     48 #define Rep(i, len) for(int i = 0; i < (len); i++)
     49 #define For(i, a, len) for(int i = (a); i < (len); i++)
     50 #define Cls(a) memset((a), 0, sizeof(a))
     51 #define Clr(a, x) memset((a), (x), sizeof(a))
     52 #define Full(a) memset((a), 0x7f7f7f, sizeof(a))
     53 #define lrt rt << 1
     54 #define rrt rt << 1 | 1
     55 #define pi 3.14159265359
     56 #define RT return
     57 #define lowbit(x) x & (-x)
     58 #define onecnt(x) __builtin_popcount(x)
     59 typedef long long LL;
     60 typedef long double LD;
     61 typedef unsigned long long ULL;
     62 typedef pair<int, int> pii;
     63 typedef pair<string, int> psi;
     64 typedef pair<LL, LL> pll;
     65 typedef map<string, int> msi;
     66 typedef vector<int> vi;
     67 typedef vector<LL> vl;
     68 typedef vector<vl> vvl;
     69 typedef vector<bool> vb;
     70  
     71 #define lson l,m,lrt
     72 #define rson m+1,r,rrt
     73 const int maxn = 200100;
     74 int n, q;
     75 char s[maxn];
     76 int b[maxn];
     77 int sum[maxn<<2];
     78  
     79 void pushUP(int rt) {
     80     sum[rt] = min(sum[rt<<1], sum[rt<<1|1]);
     81 }
     82  
     83 void build(int l, int r, int rt) {
     84     if(l == r) {
     85         sum[rt] = b[l];
     86         return;
     87     }
     88     int m = (l + r) >> 1;
     89     build(lson);
     90     build(rson);
     91     pushUP(rt);
     92 }
     93  
     94 int query(int L, int R, int l, int r, int rt) {
     95     if(L <= l && r <= R) return sum[rt];
     96     int m = (l + r) >> 1;
     97     int ret = 0x7f7f7f7f;
     98     if(L <= m) ret = min(ret, query(L, R, lson));
     99     if(R > m) ret = min(ret, query(L, R, rson));
    100     return ret;
    101 }
    102  
    103 signed main() {
    104     // FRead();
    105     int u, v;
    106     while(~Rint(n)&&~Rint(q)) {
    107         Cls(b); Rs(s+1);
    108         int cnt = 0;
    109         For(i, 1, n+1) {
    110             if(s[i] == '(') b[i] = ++cnt;
    111             else b[i] = --cnt;
    112         }
    113         build(1, n, 1);
    114         W(q) {
    115             Rint(u); Rint(v);
    116             if(u > v) swap(u, v);
    117             if((s[u]==')'&&s[v]=='(')||(s[u]==s[v])) {
    118                 puts("Yes");
    119                 continue;
    120             }
    121             int ret = query(u, v-1, 1, n, 1);
    122             if(ret < 2) puts("No");
    123             else puts("Yes");
    124         }
    125     }
    126     RT 0;
    127 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5837875.html
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