#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 1000000000000000000LL

int B = 1<<10;
void setting(vector<long long> &a,vector<vector<long long>> &vs,vector<vector<long long>> &sums,int ind){
	for(int i=B*ind;i<min((int)a.size(),B*(ind+1));i++){
		vs[ind][i-B*ind] = a[i];
	}
	sort(vs[ind].begin(),vs[ind].end());

	for(int i=0;i<vs[ind].size();i++){
		sums[ind][i+1] = sums[ind][i] + vs[ind][i];
	}
}

int main(){
	
	int n,q;
	cin>>n>>q;
	
	vector<long long> a(n);
	rep(i,n){
		cin>>a[i];
	}
	vector<vector<long long>> vs((n+B-1)/B,vector<long long>());
	vector<vector<long long>> sums((n+B-1)/B,vector<long long>());
	rep(i,n){
		vs[i/B].push_back(0);
		sums[i/B].push_back(0);
	}
	rep(i,sums.size()){
		sums[i].push_back(0);
	}
	for(int i=0;i<n;i+=B){
		setting(a,vs,sums,i/B);
	}
	long long last = 0;
	rep(_,q){
		long long t,x,y;
		cin>>t>>x>>y;
		if(t==1){
			x ^= last & ((1<<16)-1);
			y ^= last & ((1LL<<40)-1);
			x--;
			a[x] = y;
			setting(a,vs,sums,x/B);
		}
		else{
			x ^= last & ((1<<16)-1);
			y ^= last & ((1<<16)-1);
			long long temp = last;
			if(x>y){
				swap(x,y);
			}
			x--;
			long long ok = -1,ng = 1LL<<41;
			while(ng-ok>1LL){
				long long mid = (ok+ng)/2;
				long long l = x,r = y;
				int cnt = 0;
				while(l<r){
					if(l%B!=0 || l+B>=r){
						if(a[l]<=mid)cnt++;
						l++;
					}
					else{
						int ind = l/B;
						cnt += distance(vs[ind].begin(),upper_bound(vs[ind].begin(),vs[ind].end(),mid));
						l += B;
					}
				}
				if(cnt <= (y-x)/2)ok = mid;
				else ng = mid;
			}
			ok++;
			last = 0;
			long long l = x,r = y;
			while(l<r){
				if(l%B!=0 || l+B>=r){
					if(a[l]<=ok){
						last += ok-a[l];
					}
					else last += a[l]-ok;
					l++;
				}
				else{
					int ind = l/B;
					int num = distance(vs[ind].begin(),upper_bound(vs[ind].begin(),vs[ind].end(),ok));
					last -= sums[ind][num];
					last += sums[ind].back() - sums[ind][num];
					last += ok * num;
					last -= ok * (vs[ind].size()-num);
					l += B;
				}
			}
			cout<<last<<endl;
			last ^= temp;
		}
	}
	return 0;
}