#include <cstdio>
#include <cstring>
#include <iostream>
#include <string>
#include <cmath>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <algorithm>
#include <complex>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <cassert>
#include <fstream>
#include <utility>
#include <functional>
#include <time.h>
#include <stack>
#include <array>
#define popcount __builtin_popcount
using namespace std;
typedef long long int ll;
typedef pair<int, int> P;
random_device rnd;
mt19937 mt(rnd());
uniform_real_distribution<> rnd1(0, 1.0);
struct node_t{
	ll val;
	ll sum;
	node_t *lch;
	node_t *rch;
	double pri;
	int cnt;
	node_t() {}
	node_t(ll v, double p):val(v), sum(v), pri(p), cnt(1), lch(nullptr), rch(nullptr){}
};
int count(node_t *t){
	return !t ? 0 : t->cnt;
}
ll sum(node_t *t){
	return !t ? 0 : t->sum;
}
node_t *update(node_t *t){
	t->cnt=count(t->lch)+count(t->rch)+1;
	t->sum=sum(t->lch)+sum(t->rch)+t->val;
	return t;
}
node_t *merge(node_t *l, node_t *r){
	if(!l || !r) return !l ? r : l;
	update(l); update(r);
	if(l->pri > r->pri){
		l->rch=merge(l->rch, r);
		return update(l);
	}else{
		r->lch=merge(l, r->lch);
		return update(r);
	}
}
pair<node_t*, node_t*> split(node_t *t, ll v){ //[0, v), [v, inf)
	if(!t) return make_pair(nullptr, nullptr);
	update(t);
	if(v <= t->val){
		pair<node_t*, node_t*> s=split(t->lch, v);
		t->lch=s.second;
		return make_pair(s.first, update(t));
	}else{
		pair<node_t*, node_t*> s=split(t->rch, v);
		t->rch=s.first;
		return make_pair(update(t), s.second);
	}
}
pair<node_t*, node_t*> split2(node_t *t, int k){ //[0, k), [k,n)
	if(!t) return make_pair(nullptr, nullptr);
	update(t);
	if(k <= count(t->lch)){
		pair<node_t*, node_t*> s=split2(t->lch, k);
		t->lch=s.second;
		return make_pair(s.first, update(t));
	}else{
		pair<node_t*, node_t*> s=split2(t->rch, k-1-count(t->lch));
		t->rch=s.first;
		return make_pair(update(t), s.second);
	}
}
node_t *erase(node_t *t, ll v){
	pair<node_t*, node_t*> s=split(t, v);
	pair<node_t*, node_t*> u=split2(s.second, 1);
	return merge(s.first, u.second);
}
node_t *insert(node_t *t, ll v){
	pair<node_t*, node_t*> s=split(t, v);
	return merge(s.first, merge(new node_t(v, rnd1(mt)), s.second));
}
void lower_bound(node_t *t, ll v, int &ret){
	if(!t) return;
	if(v <= t->val) lower_bound(t->lch, v, ret);
	else{
		ret+=count(t->lch)+1;
		lower_bound(t->rch, v, ret);
	}
}
void lower_sum(node_t *t, ll v, ll &ret){
	if(!t) return;
	if(v <= t->val) lower_sum(t->lch, v, ret);
	else{
		ret+=sum(t->lch)+t->val;
		lower_sum(t->rch, v, ret);
	}
}
template<typename T>
struct BIT{ //1-indexed
    vector<T> bit;
    int size;
	BIT(){}
    BIT(int n):size(n), bit(n+1, 0){}
	void init(int n){
		size=n;
		bit.resize(n+1, 0);
	}
    T sum(int i){
        T s=0;
        while(i>0){
            s+=bit[i];
            i-=(i&(-i));
        }
        return s;
    }
    void add(int i, T x){
        while(i<=size){
            bit[i]+=x;
            i+=(i&(-i));
        }
    }
};
int sz;
node_t *seg[1<<17];
ll a[1<<16];
BIT<ll> bit;
void update_query(int x, ll y){
	int k=x+sz;
	seg[k]=erase(seg[k], a[x]);
	seg[k]=insert(seg[k], y);
	while(k>1){
		k>>=1;
		seg[k]=erase(seg[k], a[x]);
		seg[k]=insert(seg[k], y);
	}
	bit.add(x+1, y-a[x]);
	a[x]=y;
}
int count_query(int l, int r, ll v){
	l+=sz, r+=sz;
	int ret=0;
	for(;l<r;l>>=1, r>>=1){
		if(r&1){
			int ret1=0;
			lower_bound(seg[--r], v, ret1);
			ret+=ret1;
		}
		if(l&1){
			int ret1=0;
			lower_bound(seg[l++], v, ret1);
			ret+=ret1;
		}
	}
	return ret;
}
ll sum_query(int l, int r, ll v){
	l+=sz, r+=sz;
	ll ret=0;
	for(;l<r;l>>=1, r>>=1){
		if(r&1){
			ll ret1=0;
			lower_sum(seg[--r], v, ret1);
			ret+=ret1;
		}
		if(l&1){
			ll ret1=0;
			lower_sum(seg[l++], v, ret1);
			ret+=ret1;
		}
	}
	return ret;
}
ll med(int l, int r){
	ll al=0, ar=(1ll<<40);
	int m=(r-l)>>1;
	while(ar-al>1){
		ll am=(al+ar)>>1;
		if(count_query(l, r, am)<=m) al=am;
		else ar=am;
	}
	return al;
}
ll query(int l, int r){
	ll md=med(l, r);
	ll c=count_query(l, r, md);
	ll ret=-2*sum_query(l, r, md)+bit.sum(r)-bit.sum(l)+(2*c-r+l)*md;
	return ret;
}
int main()
{
	int n, q;
	cin>>n>>q;
	for(int i=0; i<n; i++){
		scanf("%lld", &a[i]); a[i]++;
	}
	sz=1;
	while(sz<n) sz<<=1;
	bit.init(n);
	for(int i=0; i<n; i++){
		int k=i+sz;
		seg[k]=insert(seg[k], a[i]);
		while(k>1){
			k>>=1;
			seg[k]=insert(seg[k], a[i]);
		}
		bit.add(i+1, a[i]);
	}
	ll p1=(1<<16)-1, p2=(1ll<<40)-1;
	ll s=0;
	for(int i=0; i<q; i++){
		int t;
		scanf("%d", &t);
		if(t==1){
			int x; ll y;
			scanf("%d %lld", &x, &y);
			x^=(s&p1);
			y^=(s&p2);
			update_query(x-1, y+1);
		}else{
			int l, r;
			scanf("%d %d", &l, &r);
			l^=(s&p1);
			r^=(s&p1);
			if(l>r) swap(l, r);
			l--;
			ll ans=query(l, r);
			printf("%lld\n", ans);
			s^=ans;
		}
	}
	return 0;
}