This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Credit: bachbeo
// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<pii,int>
#define mpp make_pair
#define fi first
#define se second
const int inf=1e9;
const int mod=1e9+7;
const int maxn=100005;
const int bl=650;
const int maxs=655;
const int maxm=200005;
const int maxq=500005;
const int maxl=35;
const int maxa=250000;
const int root=3;
/*
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
const int iroot=power(3,mod-2);
*/
const int base=101;
int n,f[maxn];
struct node{
int pl[maxl],pr[maxl],cl[maxl],cr[maxl],sl[maxl],sr[maxl];
int szl,szr,sum,cnt;
node(){}
void reset(int x){
szl=szr=1;
pl[0]=pr[0]=x;
sl[0]=sr[0]=cl[0]=cr[0]=0;
sum=f[x];cnt=1;
}
void print(int l,int r){
cout << '*' << l << ' ' << r << '\n';
cout << sum << ' ' << cnt << '\n';
cout << "#rr\n";
for(int i=0;i<szr;i++) cout << pr[i] << ' ' << cr[i] << ' ' << sr[i] << '\n';
cout << "#ll\n";
for(int i=0;i<szl;i++) cout << pl[i] << ' ' << cl[i] << ' ' << sl[i] << '\n';
}
};
namespace Segtree{
node tree[4*maxn];
node s[2];
int st=-1;
int add(int a,int b){
return min(a+b,inf);
}
void merge(node &res,node &a,node &b){
res.szl=a.szl;res.szr=b.szr;
res.sum=a.sum+b.sum;
res.cnt=0;
for(int i=0;i<res.szl;i++) res.pl[i]=a.pl[i],res.cl[i]=a.cl[i],res.sl[i]=a.sl[i];
for(int i=0;i<res.szr;i++) res.pr[i]=b.pr[i],res.cr[i]=b.cr[i],res.sr[i]=b.sr[i];
int len=0,ok=0;
if(a.sum>b.sum){
int cur=b.sum;len=res.szr;ok=0;
for(int i=0;i<a.szr;i++){
if(cur+a.sr[i]<f[a.pr[i]]){
res.pr[res.szr]=a.pr[i];
res.sr[res.szr]=add(cur,a.sr[i]);
res.cr[res.szr++]=0;
}
}
}
else{
int cur=a.sum;len=res.szl;ok=1;
for(int i=0;i<b.szl;i++){
if(cur+b.sl[i]<f[b.pl[i]]){
res.pl[res.szl]=b.pl[i];
res.sl[res.szl]=add(cur,b.sl[i]);
res.cl[res.szl++]=0;
}
}
}
b.sl[b.szl]=b.sum;b.cl[b.szl]=b.cnt;
a.sr[a.szr]=a.sum;a.cr[a.szr]=a.cnt;
int ca=0,cb=0,cc=len;
auto fix = [&](int val){
while(true){
if(ca<a.szr && a.sr[ca]+b.sl[cb]>=f[a.pr[ca]]) ca++;
else if(cb<b.szl && a.sr[ca]+b.sl[cb]>=f[b.pl[cb]]) cb++;
else break;
}
if(ok && ca==a.szr){
while(cc<res.szl && (cb==b.szl || res.pl[cc]<b.pl[cb])) cc++;
if(cc<res.szl) res.cl[cc]+=val;
else res.cnt+=val;
}
if(!ok && cb==b.szl){
while(cc<res.szr && (ca==a.szr || res.pr[cc]>a.pr[ca])) cc++;
if(cc<res.szr) res.cr[cc]+=val;
else res.cnt+=val;
}
};
for(int i=1;i<=a.szr;i++){
ca=max(ca,i);
fix(a.cr[i]);
}
ca=cb=0;cc=len;
for(int i=1;i<=b.szl;i++){
cb=max(cb,i);
fix(b.cl[i]);
}
}
void query(int l,int r,int id,int tl,int tr){
if(r<tl || tr<l) return;
if(tl<=l && r<=tr){
if(st==-1) s[0]=tree[id],st=0;
else st^=1,merge(s[st],s[st^1],tree[id]);
return;
}
int mid=(l+r)>>1;
query(l,mid,id<<1,tl,tr);query(mid+1,r,id<<1|1,tl,tr);
}
int query(int l,int r){
st=-1;query(1,n,1,l,r);
return s[st].cnt;
}
void update(int l,int r,int id,int pos){
if(l==r){
tree[id].reset(l);
return;
}
int mid=(l+r)>>1;
if(pos<=mid) update(l,mid,id<<1,pos);
else update(mid+1,r,id<<1|1,pos);
merge(tree[id],tree[id<<1],tree[id<<1|1]);
}
void build(int l,int r,int id){
if(l==r){
tree[id].reset(l);
return;
}
int mid=(l+r)>>1;
build(l,mid,id<<1);build(mid+1,r,id<<1|1);
merge(tree[id],tree[id<<1],tree[id<<1|1]);
//tree[id].print(l,r);
}
}
void solve(){
cin >> n;
for(int i=1;i<=n;i++) cin >> f[i];
Segtree::build(1,n,1);
int q;cin >> q;
for(int i=1;i<=q;i++){
int t,x,y;cin >> t >> x >> y;
if(t==1) f[x]=y,Segtree::update(1,n,1,x);
else cout << Segtree::query(x,y) << '\n';
}
}
signed main(){
//freopen("input.txt","r",stdin);
//freopen("out.txt","w",stdout);
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
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