• HDOJ 3911 线段树


    链接:

    http://acm.hdu.edu.cn/showproblem.php?pid=3911

    题意:

    给出01串 1代表黑色 0代表白色  

    0 a b:询问[a,b]中1的连续最大长度  

    1 a,b:把[a,b]区间的0->1 1->0  

    题解:

    lsum1[],rsum1[],msum1[]分别表示区间左起连续1的最大长度,右起连续1的最大长度,区间1的最大连续长度  

    lsum0[],rsum0[],msum0[]分别表示区间左起连续0的最大长度,右起连续0的最大长度,区间连续0的最大连续长度  

    0 a b:交换 0和1的lsum[] rsum[] msum[]; ROX[]表示需要向儿子更新 两次更新=不变  

    代码:

      1 #include <map>
      2 #include <set>
      3 #include <cmath>
      4 #include <queue>
      5 #include <stack>
      6 #include <cstdio>
      7 #include <string>
      8 #include <vector>
      9 #include <cstdlib>
     10 #include <cstring>
     11 #include <sstream>
     12 #include <iostream>
     13 #include <algorithm>
     14 #include <functional>
     15 using namespace std;
     16 #define rep(i,a,n) for (int i=a;i<n;i++)
     17 #define per(i,a,n) for (int i=n-1;i>=a;i--)
     18 #define all(x) (x).begin(),(x).end()
     19 #define pb push_back
     20 #define mp make_pair
     21 #define lson l,m,rt<<1  
     22 #define rson m+1,r,rt<<1|1 
     23 typedef long long ll;
     24 typedef vector<int> VI;
     25 typedef pair<int, int> PII;
     26 const ll MOD = 1e9 + 7;
     27 const int INF = 0x3f3f3f3f;
     28 const int MAXN = 1e5 + 7;
     29 // head
     30 
     31 int rox[MAXN << 2];
     32 int lsum1[MAXN << 2], rsum1[MAXN << 2], msum1[MAXN << 2];
     33 int lsum0[MAXN << 2], rsum0[MAXN << 2], msum0[MAXN << 2];
     34 
     35 void pushup(int rt, int m) {
     36     lsum1[rt] = lsum1[rt << 1], rsum1[rt] = rsum1[rt << 1 | 1];
     37     if (lsum1[rt << 1] == m - (m >> 1)) lsum1[rt] += lsum1[rt << 1 | 1];
     38     if (rsum1[rt << 1 | 1] == m >> 1) rsum1[rt] += rsum1[rt << 1];
     39     msum1[rt] = max(max(msum1[rt << 1], msum1[rt << 1 | 1]), rsum1[rt << 1] + lsum1[rt << 1 | 1]);
     40     lsum0[rt] = lsum0[rt << 1], rsum0[rt] = rsum0[rt << 1 | 1];
     41     if (lsum0[rt << 1] == m - (m >> 1)) lsum0[rt] += lsum0[rt << 1 | 1];
     42     if (rsum0[rt << 1 | 1] == m >> 1) rsum0[rt] += rsum0[rt << 1];
     43     msum0[rt] = max(max(msum0[rt << 1], msum0[rt << 1 | 1]), rsum0[rt << 1] + lsum0[rt << 1 | 1]);
     44 }
     45 
     46 void pushdown(int rt, int m) {
     47     if (rox[rt]) {
     48         rox[rt << 1] ^= 1, rox[rt << 1 | 1] ^= 1;
     49         swap(lsum0[rt << 1], lsum1[rt << 1]);
     50         swap(rsum0[rt << 1], rsum1[rt << 1]);
     51         swap(msum0[rt << 1], msum1[rt << 1]);
     52         swap(lsum0[rt << 1 | 1], lsum1[rt << 1 | 1]);
     53         swap(rsum0[rt << 1 | 1], rsum1[rt << 1 | 1]);
     54         swap(msum0[rt << 1 | 1], msum1[rt << 1 | 1]);
     55         rox[rt] = 0;
     56     }
     57 }
     58 
     59 void build(int l, int r, int rt) {
     60     rox[rt] = 0;
     61     if (l == r) {
     62         int c;
     63         scanf("%d", &c);
     64         lsum1[rt] = rsum1[rt] = msum1[rt] = c;
     65         lsum0[rt] = rsum0[rt] = msum0[rt] = c ^ 1;
     66         return;
     67     }
     68     int m = (l + r) >> 1;
     69     build(lson);
     70     build(rson);
     71     pushup(rt, r - l + 1);
     72 }
     73 
     74 void update(int L, int R, int l, int r, int rt) {
     75     if (L <= l && r <= R) {
     76         rox[rt] ^= 1;
     77         swap(lsum0[rt], lsum1[rt]);
     78         swap(rsum0[rt], rsum1[rt]);
     79         swap(msum0[rt], msum1[rt]);
     80         return;
     81     }
     82     pushdown(rt, r - l + 1);
     83     int m = (l + r) >> 1;
     84     if (L <= m) update(L, R, lson);
     85     if (R > m) update(L, R, rson);
     86     pushup(rt, r - l + 1);
     87 }
     88 
     89 int query(int L, int R, int l, int r, int rt) {
     90     if (L <= l && r <= R) return msum1[rt];
     91     pushdown(rt, r - l + 1);
     92     int m = (l + r) >> 1;
     93     int ret;
     94     if (m >= R) ret = query(L, R, lson);
     95     else if (m < L) ret = query(L, R, rson);
     96     else {
     97         ret = max(query(L, R, lson), query(L, R, rson));
     98         int t1 = min(m - L + 1, rsum1[rt << 1]);
     99         int t2 = min(R - m, lsum1[rt << 1 | 1]);
    100         ret = max(ret, t1 + t2);
    101     }
    102     return ret;
    103 }
    104 
    105 int main() {
    106     int n, m;
    107     while (cin >> n) {
    108         build(1, n, 1);
    109         cin >> m;
    110         while (m--) {
    111             int a, b, c;
    112             scanf("%d%d%d", &a, &b, &c);
    113             if (a) update(b, c, 1, n, 1);
    114             else printf("%d
    ", query(b, c, 1, n, 1));
    115         }
    116     }
    117     return 0;
    118 }
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  • 原文地址:https://www.cnblogs.com/baocong/p/6701837.html
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