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#include<bits/stdc++.h>
using namespace std;
#define all(v) ((v).begin()),((v).end())
#define sz(v) (v.size())
#define yes cout<<"Yes"<<'\n';
#define no cout<<"No"<<'\n';
#define endl '\n';
#define f(i,j,k) for(long long i=j;i<k;i++)
#define fb(i,j,k) for(long long i=j;i>=k;i--)
#define fs(i,j,k,p) for(long long i=j;i<k;i+=p)
#define fbs(i,j,k,p) for(long long i=j;i>=k;i-=p)
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define ff first
#define ss second
#define pi 3.141592653589793238462
typedef long long ll;
typedef unsigned long long ull;
typedef long double lld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef vector<vector<int>> vvi;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pp ;
typedef vector<ll> vll;
ll gcd(ll a , ll b) {return b ? gcd(b , a % b) : a ;}
ll lcm(ll a , ll b) {return (a * b) / gcd(a , b);}
long long pow(long long a, long long b, long long m) {
a %= m;
long long res = 1;
while (b > 0) {
if (b & 1)
res = res * a % m;
a = a * a % m;
b >>= 1;
}
return res;
}
ll mod =1e9+7;
void add_divs(ll x, map<ll, ll>&divs){
ll i = 2;
while(i * i <= x){
while (x % i == 0){
divs[i]++;
x /= i;
}
i++;
}
if(x > 1) divs[x]++;
}
ll n1;
ll mrg (ll x ,ll y )
{
return x+y;
}
struct segment_tree
{
vector<ll> tree;
void clear()
{
tree.clear();
}
void init(int num, const vector<ll>& a)
{
n1 = num;
tree.assign(4 * n1, 0ll);
build(a);
}
void build(const vector<ll>& a, int id=0,int ns = 0, int ne = n1-1)
{
if(ns==ne){
tree[id] = a[ns];
return ;
}
int l = 2*id+1;
int r = l+1;
int md = ns+(ne-ns)/2;
build(a,l, ns, md);
build(a,r, md+1, ne);
tree[id] = mrg(tree[l],tree[r]);
}
ll query(int qs, int qe, int id=0, int ns=0, int ne=n1-1)
{
if(ns>qe || qs>ne){
return 0; ///infnity
}
if(qs<=ns && qe>=ne){
return tree[id];
}
int l = 2*id+1;
int r = l+1;
int md = ns+(ne-ns)/2;
ll ndl = query(qs, qe, l, ns, md);
ll ndr = query(qs, qe,r, md+1,ne);
return mrg(ndl,ndr );
}
void upd(int pos , int val , int id=0, int ns=0,int ne=n1-1)
{
if(ns>pos || pos>ne){
return;
}
if(ns==ne){
tree[id]=val;
return ;
}
int l = 2*id+1;
int r = l+1;
int md = ns+(ne-ns)/2;
upd(pos, val,l, ns, md);
upd(pos, val, r, md+1, ne);
tree[id] = mrg(tree[l],tree[r]);
}
} st ;
int main()
{
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