思路
单点更新。区间最大。
小结
又WA了一发。设查询区间为[QL, QR],当前节点为rt,对应区间为[L, R], mid=(L+R)/2。
按照我的写法,当QL小于等于mid时,递归左区间,当QR大于mid时,递归右区间。这里应该是两个if,而我写成了if-else,含义就错了。
代码
#include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
using namespace std;
const int maxn = 200000+5;
int tree[maxn<<2];
void build(int rt, int l, int r){
if(l==r){
scanf("%d", &tree[rt]);
}
else{
int mid = (l+r)>>1;
build(rt<<1, l, mid);
build(rt<<1|1, mid+1, r);
tree[rt] = max(tree[rt<<1], tree[rt<<1|1]);
}
}
void Set(int rt, int id, int l, int r, int x){
if(l==r && l==id){
tree[rt] = x;
}
else{
int mid = (l+r)>>1;
if(id<=mid)
Set(rt<<1, id, l, mid, x);
else
Set(rt<<1|1, id, mid+1, r, x);
tree[rt] = max(tree[rt<<1], tree[rt<<1|1]);
}
}
int query(int rt, int a, int b, int l, int r){
if(a<=l && r<=b){
return tree[rt];
}
else{
int mid = (l+r)>>1;
int ans = -1;
if(a<=mid)
ans = max(ans, query(rt<<1, a, b, l, mid));
if(mid<b)
ans = max(ans, query(rt<<1|1, a, b, mid+1, r));
return ans;
}
}
int main(){
int n, m, a, b;
char opt[10];
while(scanf("%d%d", &n, &m)!=EOF){
build(1, 1, n);
for(int i=0; i<m; ++i){
scanf("%s%d%d", opt, &a, &b);
if(opt[0]=='U'){
Set(1, a, 1, n, b);
}
if(opt[0]=='Q'){
printf("%d\n", query(1, a, b, 1, n));
}
}
}
return 0;
}