# segment tree線段樹
## 模板
```cpp=
#pragma GCC optimize("Ofast","inline","-ffast-math","no-stack-protector")
#pragma GCC target("avx,sse2,sse3,sse4,mmx")
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'
#define inf 1e9
#define maxn 100005
#define mod 1000000007
int arr[maxn];
int tree[maxn*4];
//建樹
void build(int node,int start,int end){
if(start==end){
tree[node]=arr[start];
}
else{
int mid=(start+end)/2;
int left_node=2*node+1;
int right_node=2*node+2;
build(left_node,start,mid);
build(right_node,mid+1,end);
tree[node]=tree[left_node]+tree[right_node];
}
}
//更新樹上的某一點
void update(int node,int start,int end,int idx,int val){
if(start==end){
arr[idx]=val;
tree[node]=val;
}
else{
int mid=(start+end)/2;
int left_node=2*node+1;
int right_node=2*node+2;
if(idx>=start and idx<=mid){
update(left_node,start,mid,idx,val);
}
else{
update(right_node,mid+1,end,idx,val);
}
tree[node]=tree[left_node]+tree[right_node];
}
}
//L到R的和
int query(int node,int start,int end,int L,int R){
if(R<start or L>end){
return 0;
}
else if(start==end){
return tree[node];
}
else{
int mid=(start+end)/2;
int left_node=2*node+1;
int right_node=2*node+2;
int sum_left=query(left_node,start,mid,L,R);
int sum_right=query(right_node,mid+1,end,L,R);
return sum_left+sum_right;
}
}
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
}
```
## 範例練習
CSES:Static Range Sum Queries
https://cses.fi/problemset/task/1646
```cpp=
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define endl "\n"
#define inf 1e9
#define maxn 10000005
int arr[maxn];
int tree[maxn];
void build(int node,int start,int end){
if(start==end){
tree[node]=arr[start];
}
else{
int mid=(start+end)/2;
int left_node=2*node+1;
int right_node=2*node+2;
build(left_node,start,mid);
build(right_node,mid+1,end);
tree[node]=tree[left_node]+tree[right_node];
}
}
int query(int node,int start,int end,int left,int right){
if(right<start or left>end){
return 0;
}
else if(left<=start and end<=right){
return tree[node];
}
else if(start==end){
return tree[node];
}
else{
int mid=(start+end)/2;
int left_node=2*node+1;
int right_node=2*node+2;
int sum_left=query(left_node,start,mid,left,right);
int sum_right=query(right_node,mid+1,end,left,right);
return sum_left+sum_right;
}
}
void update(int node,int start,int end,int index,int value){
if(start==end){
arr[index]=value;
tree[node]=value;
}
else{
int mid=(start+end)/2;
int left_node=2*node+1;
int right_node=2*node+2;
if(index>=start and index<=mid){
update(left_node,start,mid,index,value);
}
else{
update(right_node,mid+1,end,index,value);
}
tree[node]=tree[left_node]+tree[right_node];
}
}
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
int n,q;
cin>>n>>q;
for(int i=1;i<=n;i++){
cin>>arr[i];
}
build(1,1,n);
for(int i=1;i<=q;i++){
int l,r;
cin>>l>>r;
cout<<query(1,1,n,l,r)<<endl;
}
}
```