#include<bits/stdc++.h>
using namespace std;
using Int = long long;
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}

template <typename T>
struct SegmentTree{
  using F = function<T(T,T)>;
  int n;
  F f;
  T ti;
  vector<T> dat;
  SegmentTree(){};
  SegmentTree(F f,T ti):f(f),ti(ti){}
  void init(int n_){
    n=1;
    while(n<n_) n<<=1;
    dat.assign(n<<1,ti);
  }
  void build(const vector<T> &v){
    int n_=v.size();
    init(n_);
    for(int i=0;i<n_;i++) dat[n+i]=v[i];
    for(int i=n-1;i;i--)
      dat[i]=f(dat[(i<<1)|0],dat[(i<<1)|1]);
  }
  void set_val(int k,T x){
    dat[k+=n]=x;
    while(k>>=1)
      dat[k]=f(dat[(k<<1)|0],dat[(k<<1)|1]);
  }
  T query(int a,int b){
    T vl=ti,vr=ti;
    for(int l=a+n,r=b+n;l<r;l>>=1,r>>=1) {
      if(l&1) vl=f(vl,dat[l++]);
      if(r&1) vr=f(dat[--r],vr);
    }
    return f(vl,vr);
  }
};


struct FastIO{
  FastIO(){
    cin.tie(0);
    ios::sync_with_stdio(0);
  }
}fastio_beet;


template<typename T>
map<T, int> factorize(T x){
  map<T, int> res;
  for(int i=2;i*i<=x;i++){
    while(x%i==0){
      x/=i;
      res[i]++;
    }
  }
  if(x!=1) res[x]++;
  return res;
}


template<typename T,T MOD = 1000000007>
struct Mint{
  T v;
  Mint():v(0){}
  Mint(signed v):v(v){}
  Mint(long long t){v=t%MOD;if(v<0) v+=MOD;}

  Mint pow(int k){
    Mint res(1),tmp(v);
    while(k){
      if(k&1) res*=tmp;
      tmp*=tmp;
      k>>=1;
    }
    return res;
  }

  Mint inv(){return pow(MOD-2);}

  Mint& operator+=(Mint a){v+=a.v;if(v>=MOD)v-=MOD;return *this;}
  Mint& operator-=(Mint a){v+=MOD-a.v;if(v>=MOD)v-=MOD;return *this;}
  Mint& operator*=(Mint a){v=1LL*v*a.v%MOD;return *this;}
  Mint& operator/=(Mint a){return (*this)*=a.inv();}

  Mint operator+(Mint a){return Mint(v)+=a;};
  Mint operator-(Mint a){return Mint(v)-=a;};
  Mint operator*(Mint a){return Mint(v)*=a;};
  Mint operator/(Mint a){return Mint(v)/=a;};

  Mint operator-(){return v?MOD-v:v;}

  bool operator==(const Mint a)const{return v==a.v;}
  bool operator!=(const Mint a)const{return v!=a.v;}

  bool operator<(const Mint a)const{return v<a.v;}

  static vector<Mint> po,op;

  static void init(size_t n, T BASE){
    if(n+1<=po.size()) return;
    po.assign(n+1,1);
    op.assign(n+1,1);

    Mint x(BASE);
    Mint y=Mint(1)/x;
    for(int i=1;i<=(int)n;i++) po[i]=po[i-1]*x;
    for(int i=1;i<=(int)n;i++) op[i]=op[i-1]*y;
  }
};
template<typename T,T MOD>
vector<Mint<T, MOD> > Mint<T, MOD>::po = vector<Mint<T, MOD> >();
template<typename T,T MOD>
vector<Mint<T, MOD> > Mint<T, MOD>::op = vector<Mint<T, MOD> >();

template<typename T,typename M1,typename M2,typename M3>
struct PolynomialHash{
  using V = tuple<M1, M2, M3>;
  static constexpr T BASE = 1777771;

  PolynomialHash(size_t n){
    M1::init(n, BASE);
    M2::init(n, BASE);
    M3::init(n, BASE);
  }

  V build(const vector<T> &v){
    int n=v.size();
    M1 r1;M2 r2;M3 r3;
    for(int i=0;i<n;i++){
      r1+=M1(v[i])*M1::po[i];
      r2+=M2(v[i])*M2::po[i];
      r3+=M3(v[i])*M3::po[i];
    }
    return V(r1,r2,r3);
  }

  V add(const V &a,const V &b){
    M1 a1=get<0>(a),b1=get<0>(b);
    M2 a2=get<1>(a),b2=get<1>(b);
    M3 a3=get<2>(a),b3=get<2>(b);
    return V(a1+b1,a2+b2,a3+b3);
  }

  V sub(const V &a,const V &b){
    M1 a1=get<0>(a),b1=get<0>(b);
    M2 a2=get<1>(a),b2=get<1>(b);
    M3 a3=get<2>(a),b3=get<2>(b);
    return V(a1-b1,a2-b2,a3-b3);
  }

  V mul(const V &a,const V &b){
    M1 a1=get<0>(a),b1=get<0>(b);
    M2 a2=get<1>(a),b2=get<1>(b);
    M3 a3=get<2>(a),b3=get<2>(b);
    return V(a1*b1,a2*b2,a3*b3);
  }

  V inv(const V &a){
    M1 a1;M2 a2;M3 a3;
    tie(a1,a2,a3)=a;
    return V(a1.inv(),a2.inv(),a3.inv());
  }

  V term(size_t x,T k){
    M1 a1=M1::po[x]*M1((long long)k);
    M2 a2=M2::po[x]*M2((long long)k);
    M3 a3=M3::po[x]*M3((long long)k);
    return V(a1,a2,a3);
  }

};
template<typename T,typename M1,typename M2,typename M3>
constexpr T PolynomialHash<T, M1, M2, M3>::BASE;

//INSERT ABOVE HERE
signed main(){
  int n,q;
  cin>>n>>q;
  string s;
  cin>>s;

  using M1 = Mint<int, int(1e9+7)>;
  using M2 = Mint<int, int(1e9+9)>;
  using M3 = Mint<int, int(998244353)>;
  using V = PolynomialHash<int, M1, M2, M3>::V;
  PolynomialHash<int, M1, M2, M3> ph(1e6);

  using P = pair<V, int>;
  auto f=
    [&](P a,P b){return P(ph.add(ph.mul(a.first,ph.term(b.second,1)),b.first)
                          ,a.second+b.second);};

  P ti(ph.term(1,0),0);
  SegmentTree<P> seg(f,ti);
  vector<P> vp;
  for(int i=0;i<n;i++) vp.emplace_back(ph.term(0,(int)s[i]),1);
  seg.build(vp);

  auto check=
    [&](int len){
      return seg.query(0,n-len)==seg.query(len,n);
    };

  auto fs=factorize(n);
  vector<int> ps;
  for(auto p:fs) ps.emplace_back(p.first);
  auto query=
    [&]()->int{
      int res=n;
      for(auto p:ps)
        while(res%p==0&&check(res/p)) res/=p;
      return res;
    };

  for(int i=0;i<q;i++){
    int p;
    char c;
    cin>>p>>c;
    p--;
    seg.set_val(p,P(ph.term(0,(int)c),1));
    cout<<query()<<"\n";
  }
  cout<<flush;
  return 0;
}



Measured memory_bytes: 32212