rt
#pragma GCC optimize(3)
#pragma GCC target("avx")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("inline")
#pragma GCC optimize("-fgcse")
#pragma GCC optimize("-fgcse-lm")
#pragma GCC optimize("-fipa-sra")
#pragma GCC optimize("-ftree-pre")
#pragma GCC optimize("-ftree-vrp")
#pragma GCC optimize("-fpeephole2")
#pragma GCC optimize("-ffast-math")
#pragma GCC optimize("-fsched-spec")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("-falign-jumps")
#pragma GCC optimize("-falign-loops")
#pragma GCC optimize("-falign-labels")
#pragma GCC optimize("-fdevirtualize")
#pragma GCC optimize("-fcaller-saves")
#pragma GCC optimize("-fcrossjumping")
#pragma GCC optimize("-fthread-jumps")
#pragma GCC optimize("-funroll-loops")
#pragma GCC optimize("-fwhole-program")
#pragma GCC optimize("-freorder-blocks")
#pragma GCC optimize("-fschedule-insns")
#pragma GCC optimize("inline-functions")
#pragma GCC optimize("-ftree-tail-merge")
#pragma GCC optimize("-fschedule-insns2")
#pragma GCC optimize("-fstrict-aliasing")
#pragma GCC optimize("-fstrict-overflow")
#pragma GCC optimize("-falign-functions")
#pragma GCC optimize("-fcse-skip-blocks")
#pragma GCC optimize("-fcse-follow-jumps")
#pragma GCC optimize("-fsched-interblock")
#pragma GCC optimize("-fpartial-inlining")
#pragma GCC optimize("no-stack-protector")
#pragma GCC optimize("-freorder-functions")
#pragma GCC optimize("-findirect-inlining")
#pragma GCC optimize("-fhoist-adjacent-loads")
#pragma GCC optimize("-frerun-cse-after-loop")
#pragma GCC optimize("inline-small-functions")
#pragma GCC optimize("-finline-small-functions")
#pragma GCC optimize("-ftree-switch-conversion")
#pragma GCC optimize("-foptimize-sibling-calls")
#pragma GCC optimize("-fexpensive-optimizations")
#pragma GCC optimize("-funsafe-loop-optimizations")
#pragma GCC optimize("inline-functions-called-once")
#pragma GCC optimize("-fdelete-null-pointer-checks")
#pragma GCC optimize(2)
#include<bits/stdc++.h>
#define int long long
using namespace std;
const int maxn=1e6+5;
int n,mod,q,a[maxn],tot;
void add(int x,int y)
{
if(x>n)
return;
// cout<<a[x]<<' '<<tot<<endl;
tot+=a[x]==0;
a[x]=(a[x]+y)%mod;
// cout<<a[x]<<endl;
tot-=(a[x]==0);
}
int read(){
int s=0,f=0;
char ch=getchar();
while(!isdigit(ch)){
f|=ch=='-';
ch=getchar();
}
while(isdigit(ch)){
s=(s<<1)+(s<<3)+(ch^48);
ch=getchar();
}
return f?-s:s;
}
int f[maxn];
signed main()
{
// for(int )
cin>>n>>q>>mod;
for(signed i=1;i<=n;++i)
// cin>>a[i];
a[i]=read();
f[1]=1;
for(signed i=2;i<=n;++i)
{
f[i]=f[i-1]+f[i-2];
f[i]%=mod;
}
for(signed i=1;i<=n;++i)
{
int x;
cin>>x;
a[i]-=x;
a[i]+=mod;
a[i]%=mod;
}
for(signed i=n;i>1;--i)
{
a[i]=(a[i]-a[i-1]-a[i-2]+mod+mod)%mod;
// cout<<a[i]<<endl;
}
for(signed i=1;i<=n;++i)
tot+=(a[i]>=1);
for(signed i=1;i<=q;++i)
{
char op;
int x,y;
cin>>op;
x=read();
y=read();
// cin>>op>>x>>y;
add(x,((op=='A')?1:-1));
add(y+1,(f[y-x]+f[y-x+1])*((op=='A')?-1:1));
add(y+2,f[y-x+1]*((op=='A')?-1:1));
puts(tot?"NO":"YES");
}
return 0;
}