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  • HDU3308 LCIS

      原题传送:http://acm.hdu.edu.cn/showproblem.php?pid=3308

      线段树,区间合并。

      节点记录下面变量:
      int l, r, c;   // 区间左端点、右端点和区间长度
      int lv, rv;    // 区间左值,右值
      int lsum, rsum, msum;  // 区间左上升长度,右上升长度,区间最大上升长度

    View Code
      1 #include <stdio.h>
      2 #include <string.h>
      3 #define lson (cur << 1)
      4 #define rson (cur << 1 | 1)
      5 #define N 100010
      6 
      7 int n, m, a[N];
      8 
      9 inline int max(int x, int y){return x > y ? x : y;}
     10 inline int min(int x, int y){return x < y ? x : y;}
     11 
     12 struct node
     13 {
     14     int l, r, c;           // 区间左端点、右端点和区间长度
     15     int lv, rv;            // 区间左值,右值
     16     int lsum, rsum, msum;  // 区间左上升长度,右上升长度,最大上升长度
     17 }tree[N << 2];
     18 
     19 void pushup(int cur)
     20 {
     21     tree[cur].lv = tree[lson].lv;
     22     tree[cur].rv = tree[rson].rv;
     23     tree[cur].lsum = tree[lson].lsum;
     24     tree[cur].rsum = tree[rson].rsum;
     25     tree[cur].msum = max(tree[lson].msum, tree[rson].msum);
     26     if(tree[lson].rv < tree[rson].lv)
     27     {
     28         if(tree[lson].lsum == tree[lson].c && tree[lson].rv < tree[rson].lv)
     29             tree[cur].lsum += tree[rson].lsum;
     30         if(tree[rson].rsum == tree[rson].c && tree[rson].lv > tree[lson].rv)
     31             tree[cur].rsum += tree[lson].rsum;
     32         
     33         tree[cur].msum = max(tree[cur].msum, tree[lson].rsum + tree[rson].lsum);
     34     }
     35 }
     36 
     37 void update(int cur, int loc, int v)
     38 {
     39     if(tree[cur].l == tree[cur].r)
     40     {
     41         tree[cur].lv = tree[cur].rv = v;
     42         return ;
     43     }
     44     int mid = (tree[cur].l + tree[cur].r) >> 1;
     45     if(mid >= loc)
     46         update(lson, loc, v);
     47     else
     48         update(rson, loc, v);
     49     pushup(cur);
     50 }
     51 
     52 int query(int cur, int l, int r)
     53 {
     54     if(tree[cur].l >= l && tree[cur].r <= r){
     55         return tree[cur].msum;
     56     }
     57     int mid = (tree[cur].l + tree[cur].r) >> 1;
     58     int ans = 0;
     59     if(mid >= l) ans = max(ans, query(lson, l, r));
     60     if(mid < r) ans = max(ans, query(rson, l, r));
     61     if(tree[lson].rv < tree[rson].lv){
     62         ans = max(ans, min(mid - l + 1, tree[lson].rsum) + min(r - mid, tree[rson].lsum));
     63     }
     64     return ans;
     65 }
     66 
     67 void build(int cur, int l, int r)
     68 {
     69     tree[cur].l = l, tree[cur].r = r, tree[cur].c = r - l + 1;
     70     if(l == r)
     71     {
     72         tree[cur].lv = tree[cur].rv = a[l];
     73         tree[cur].lsum = tree[cur].rsum = tree[cur].msum = 1;
     74         return ;
     75     }
     76     int mid = (l + r) >> 1;
     77     build(lson, l, mid);
     78     build(rson, mid + 1, r);
     79     pushup(cur);
     80 }
     81 
     82 int main()
     83 {
     84     int cas, i, x, y;
     85     char op[5];
     86     scanf("%d", &cas);
     87     while(cas --)
     88     {
     89         scanf("%d%d", &n, &m);
     90         for(i = 1; i <= n; i ++)
     91             scanf("%d", &a[i]);
     92         build(1, 1, n);
     93         while(m --)
     94         {
     95             scanf("%s%d%d", op, &x, &y);
     96             if(op[0] == 'Q')
     97             {
     98                 printf("%d\n", query(1, x + 1, y + 1));
     99             }
    100             else if(op[0] == 'U')
    101             {
    102                 update(1, x + 1, y);
    103             }
    104         }
    105     }
    106     return 0;
    107 }
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  • 原文地址:https://www.cnblogs.com/huangfeihome/p/2709874.html
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