//Author: Kevin
#include<bits/stdc++.h>
//#pragma GCC optimize("O2")
using namespace std;
#define ll long long
#define ull unsigned ll
#define pb emplace_back
#define mp make_pair
#define ALL(x) (x).begin(),(x).end()
#define rALL(x) (x).rbegin(),(x).rend()
#define srt(x) sort(ALL(x))
#define rev(x) reverse(ALL(x))
#define rsrt(x) sort(rALL(x))
#define sz(x) (int)(x.size())
#define inf 0x3f3f3f3f
#define pii pair<int,int>
#define lb(v,x) (int)(lower_bound(ALL(v),x)-v.begin())
#define ub(v,x) (int)(upper_bound(ALL(v),x)-v.begin())
#define uni(v) v.resize(unique(ALL(v))-v.begin())
#define longer __int128_t
void die(string S){puts(S.c_str());exit(0);}
int n,q;
int p[100100],d[100100],c[100100],maxd;
int op[100100],x[100100],y[100100];
int po[100100],tot;
int in[100100][455],out[100100][455];
int ans[100100];
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	cin>>n>>q;
	for(int i=2;i<=n;i++)
		cin>>p[i];
	for(int i=1;i<=n;i++)
	{
		d[i]=d[p[i]]+1;
		c[d[i]]++;
	}
	maxd=*max_element(d+1,d+n+1);
	for(int i=1;i<=q;i++)
	{
		cin>>op[i];
		if(op[i]==1)
			cin>>x[i]>>y[i];
	}
	for(int i=1;i<=maxd;i++)
		if(c[i]!=c[i-1])
			po[++tot]=i;
	po[++tot]=maxd+1;
	for(int i=1;i<=n;i++)
		for(int j=1;j<=tot;j++)
			in[i][j]=inf;
	for(int i=n;i>=1;i--)
	{
		for(int j=1;j<=tot;j++)
			if(po[j]==d[i])
				in[i][j]=out[i][j]=i;
		if(i>1)
			for(int j=1;j<=tot;j++)
			{
				in[p[i]][j]=min(in[p[i]][j],in[i][j]);
				out[p[i]][j]=max(out[p[i]][j],out[i][j]);
			}
	}
	for(int i=1;i<tot;i++)
	{
		int C=c[po[i]];
		vector<vector<int>> delta((n+n+n)/C+1);
		for(auto &vd:delta)
			vd.resize(C+1);
		int rot=0;
		for(int j=1;j<=q;j++)
			if(op[j]==2)
				rot=(rot+1)%n;
			else
			{
				int u=x[j],val=y[j];
				if(d[u]>=po[i+1])
					continue;
				int st=in[u][i]-1,nd=out[u][i]-1;
				int layer=po[i+1]-po[i];
				if(d[u]>po[i])
				{
					st=nd=u-1;
					layer=po[i+1]-d[u];
				}
				st=(st+n-rot)%n;
				nd=(nd+n-rot)%n;
				if(nd<st) nd+=n;
				if(st/C==nd/C)
				{
					delta[st/C][st%C]+=val;
					delta[st/C][nd%C+1]-=val;
					delta[st/C+layer][st%C]-=val;
					delta[st/C+layer][nd%C+1]+=val;
				}
				else
				{
					delta[st/C][st%C]+=val;
					delta[nd/C][0]+=val;
					delta[nd/C][nd%C+1]-=val;
					delta[st/C+layer][st%C]-=val;
					delta[nd/C+layer][0]-=val;
					delta[nd/C+layer][nd%C+1]+=val;
				}
			}
		for(int i=1;i<sz(delta);i++)
			for(int j=0;j<sz(delta[i]);j++)
				delta[i][j]+=delta[i-1][j];
		for(int i=0;i<sz(delta);i++)
		{
			for(int j=1;j<sz(delta[i]);j++)
				delta[i][j]+=delta[i][j-1];
			for(int j=0;j<C;j++)
				ans[(i*C+j)%n]+=delta[i][j];
		}
	}
	int tot=0;
	for(int i=0;i<n;i++)
		tot^=ans[i];
	cout<<tot<<endl;
	return 0;
}