#pragma GCC optimize("Ofast")
#pragma GCC target("avx,sse2,sse3,sse4,mmx")
#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")
#include<bits/stdc++.h>
#define int long long
using namespace std;
const int N=7e5+50;
namespace IO {
#define iL (1 << 20)
char ibuf[iL], *iS = ibuf + iL, *iT = ibuf + iL;
#define gc() ((iS == iT) ? (iT = (iS = ibuf) + fread(ibuf, 1, iL, stdin), iS == iT ? EOF : *iS ++) : *iS ++)
template<class T> inline void read(T &x) {
x = 0;int f = 0;char ch = gc();
for (; !isdigit(ch); f |= ch == '-', ch = gc());
for (; isdigit(ch); x = (x << 1) + (x << 3) + (ch ^ 48), ch = gc());
x = (f == 1 ? ~ x + 1 : x);
}
template<class T, class... Args> inline void read(T &x, Args&... args) { read(x), read(args...); }
template<class T> inline void readch(T &x) { char ch = gc(); for (; ch!='A'&&ch!='C'&&ch!='?'; ch = gc()); x = ch; }
char Out[iL], *iter = Out;
#define flush() fwrite(Out, 1, iter - Out, stdout), iter = Out
template<class T> inline void write(T x, char ch = '\n') {
T l, c[35];
if (x < 0) *iter ++ = '-', x = ~ x + 1;
for (l = 0; !l || x; c[l] = x % 10, l++, x /= 10);
for (; l; -- l, *iter ++ = c[l] + '0');*iter ++ = ch;
flush();
}
template<class T, class... Args> inline void write(T x, Args... args) { write(x, ' '), write(args...); }
} // IO
using namespace IO;
int n,q,f[N],g[N],B,fa[N],ff[N],top[N],siz[N],son[N],dep[N],p[N],t[N],dfn[N],now[N],in[N];
vector<int>to[N],vt,tson[N];
char s[N],c[N];
int LCA(int u,int v)
{
while(top[u]!=top[v])
{
if(dep[top[u]]<dep[top[v]])swap(u,v);
u=fa[top[u]];
}
return dep[u]<dep[v]?u:v;
}
int st[N];
void ADD(int x,int y)
{
to[x].push_back(y);ff[y]=x;in[x]=in[y]=1;
}
void add(int&top)
{
ADD(st[top-1],st[top]);
top--;
}
void rebuild(int k)
{
int top=0;st[++top]=1;in[1]=t[0]=1;
for(int i=1;i<=k;i++)if(t[i]!=t[i-1])
{
int lca=LCA(t[i],st[top]);
while(dep[lca]<=dep[st[top-1]])add(top);
if(lca!=st[top])ADD(lca,st[top]),st[top]=lca;
if(t[i]!=lca)st[++top]=t[i];
}
while(top>1)add(top);
}
int cmp(int a,int b)
{
return dfn[a]<dfn[b];
}
struct node
{
int x,num,sum;
};
int tim,tt;
struct block
{
vector<int>p;
node *a;
int num,n,sum;// F
int pos,ad;//G
void clear()
{
vector<int>().swap(p);free(a);
num=n=sum=pos=ad=0;
}
void init()
{
int bg=clock();
sort(p.begin(),p.end());
a=new node[p.size()+4];
a[0]=(node){-1000000000,0,0};
for(auto x:p)
{
if(x!=a[n].x)a[++n]=(node){x,1,x};
else a[n].num++,a[n].sum+=x;
}
a[++n]=(node){1000000000,0,0};
for(int i=n-1;i>=0;i--)a[i].sum+=a[i+1].sum,a[i].num+=a[i+1].num;
for(int i=1;i<=n;i++)if(a[i].x>0)
{
pos=i;
break;
}
tim+=clock()-bg;
}
void fad(int x)
{
sum+=x*num;
}
void gad(int x)
{
ad-=x;
if(x>0&&a[pos-1].x>ad)pos--;
if(x<0&&a[pos].x<=ad)pos++;
}
int sol()
{
return sum+a[pos].sum-ad*a[pos].num;
}
void insert(char c,int x)
{
if(c=='?')p.push_back(g[x]);
if(c=='A')sum+=f[x],num++;
}
}d1[N],d2[N];
void clear(int x)
{
in[x]=ff[x]=0;
d1[x].clear();
d2[x].clear();
for(auto v:to[x])clear(v);
vector<int>().swap(to[x]);
}
int dfs(int x,int r)
{
if(in[x])r=x;
int w=0;
for(auto v:tson[x])w+=dfs(v,r);
if(!in[x]&&s[x]!='C')
{
if(w)d1[w].insert(s[x],x);
else d2[r].insert(s[x],x);
}
return in[x]?x:w;
}
void GAD(int x,int w)
{
d1[x].gad(w);d2[x].gad(w);g[x]+=w;
for(auto v:to[x])GAD(v,w);
}
void mk(int x,char c,int w)
{
int rx=x;
if(c!='A')
{
d1[x].fad(w),d1[x].gad(w),x=ff[x];
while(x)d1[x].fad(w),d1[x].gad(w),f[x]+=w,g[x]+=w,x=ff[x];
}
if(c!='C')
{
d2[x=rx].gad(-w);
for(auto v:to[x])GAD(v,-w);
}
}
void rmk(int x,char s,char c)
{
if(s==c)return;
int rx=x;
if(s=='A'||c=='A')
{
int w=(s=='A')?1:-1;
d1[x].fad(w),d1[x].gad(w),x=ff[x];
while(x)d1[x].fad(w),d1[x].gad(w),f[x]+=w,g[x]+=w,x=ff[x];
}
if(s=='C'||c=='C')
{
int w=(s=='C')?1:-1;
d2[x=rx].gad(-w);
for(auto v:to[x])GAD(v,-w);
}
}
void sol()
{
int ans=0;
for(auto x:vt)ans+=(s[x]=='A')*f[x]+(s[x]=='?')*max(0ll,g[x])+d1[x].sol()+d2[x].sol();
cout<<ans<<'\n';
}
void solve(int q)
{
vector<int>().swap(vt);
for(int i=1;i<=n;i++)f[i]=g[i]=0;
for(int i=n;i>=1;i--)f[fa[i]]+=f[i]+(s[i]!='A');
for(int i=2;i<=n;i++)g[i]=g[fa[i]]-(s[fa[i]]!='C');
for(int i=1;i<=n;i++)g[i]+=f[i];
for(int i=1;i<=q;i++)read(p[i]),readch(c[i]),t[i]=p[i];
int bg=clock();
sort(t+1,t+1+q,cmp);rebuild(q);dfs(1,1);
for(int i=1;i<=n;i++)if(in[i])vt.push_back(i),d1[i].init(),d2[i].init();
tt+=clock()-bg;
for(int i=1;i<=q;i++)
{
rmk(p[i],s[p[i]],c[i]);
s[p[i]]=c[i],sol();
}
clear(1);
}
int cc;
void dfs2(int x,int topp)
{
top[x]=topp;dfn[x]=++cc;
if(!son[x])return;dfs2(son[x],topp);
for(auto v:tson[x])if(v!=son[x])dfs2(v,v);
}
char ss[5]={'A','?','C'};
main()
{
// freopen("in.txt","r",stdin);
// // freopen("in.txt","w",stdout);
// freopen("out.txt","w",stdout);
// n=q=3e5;cout<<n<<' '<<q<<'\n';
// for(int i=1;i<=n;i++)cout<<ss[rand()%2];puts("");
// for(int i=1;i<=n;i++)cout<<i<<' ';puts("");
// for(int i=1;i<=q;i++)cout<<rand()%n+1<<' '<<ss[rand()%2]<<'\n';
// return 0;
read(n,q);
for(int i=1;i<=n;i++)readch(s[i]);
B=750;dep[1]=1;
for(int i=2;i<=n;i++)read(fa[i]),dep[i]=dep[fa[i]]+1,tson[fa[i]].push_back(i);
for(int i=n;i>=1;i--)siz[i]++,siz[fa[i]]+=siz[i];
siz[0]=0;
for(int i=2;i<=n;i++)if(siz[i]>siz[son[fa[i]]])son[fa[i]]=i;
dfs2(1,1);
while(q>0)solve(min(q,B)),q-=B;
cerr<<1.0*clock()/CLOCKS_PER_SEC<<' '<<1.0*tim/CLOCKS_PER_SEC<<' '<<1.0*tt/CLOCKS_PER_SEC;
}