#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define elif else if #define sp(x) fixed << setprecision(x) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const int MOD = 1000000007; //const int MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; const double pi = acos(-1.0); const double EPS = 1e-10; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; template struct Mod_Int{ ll x; Mod_Int() : x(0) {} Mod_Int(ll y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} Mod_Int &operator += (const Mod_Int &p){ x = (x + p.x) % mod; return *this; } Mod_Int &operator -= (const Mod_Int &p){ x = (x + mod - p.x) % mod; return *this; } Mod_Int &operator *= (const Mod_Int &p){ x = (x * p.x) % mod; return *this; } Mod_Int &operator /= (const Mod_Int &p){ *this *= p.inverse(); return *this; } Mod_Int &operator ++ () {return *this += Mod_Int(1);} Mod_Int operator ++ (int){ Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator -- () {return *this -= Mod_Int(1);} Mod_Int operator -- (int){ Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator - () const {return Mod_Int(-x);} Mod_Int operator + (const Mod_Int &p) const {return Mod_Int(*this) += p;} Mod_Int operator - (const Mod_Int &p) const {return Mod_Int(*this) -= p;} Mod_Int operator * (const Mod_Int &p) const {return Mod_Int(*this) *= p;} Mod_Int operator / (const Mod_Int &p) const {return Mod_Int(*this) /= p;} bool operator == (const Mod_Int &p) const {return x == p.x;} bool operator != (const Mod_Int &p) const {return x != p.x;} Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod-2); } Mod_Int pow(ll k) const{ Mod_Int now = *this, ret = 1; while(k){ if(k&1) ret *= now; now *= now, k >>= 1; } return ret; } friend ostream &operator << (ostream &os, const Mod_Int &p){ return os << p.x; } friend istream &operator >> (istream &is, Mod_Int &p){ ll a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; const int MAX = 1000000; int A[MAX+1]; mint iv[MAX+1], pw[MAX+1]; mint inv(int a){ if(a > 0) return iv[a]; else return iv[abs(a)]*(-1); } mint calc(int i, int j, int k){ int a = A[i], b = A[j], c = A[k]; return (pw[a]*(b-c)+pw[b]*(c-a)+pw[c]*(a-b))*inv(a-b)*inv(b-c)*inv(c-a); } int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); int N, M; cin >> N >> M; rep2(i, 2, N){ cin >> A[i]; A[i]--; } bool st[N+1], en[N+1]; fill(st, st+N+1, false), fill(en, en+N+1, false); rep2(i, 2, N-1){ st[i] = true, en[i] = (N%i == 0); } rep2(i, 1, MAX) iv[i] = mint(i).inverse(); rep2(i, 1, MAX) pw[i] = mint(i).pow(M-1); vector es[N+1]; mint ans = 0; rep2(i, 2, N-1){ for(int j = i+i; j <= N; j += i){ es[j].pb(i); if(st[i] && en[j]) ans -= calc(i, j, N); } } cout << ans << '\n'; int Q; cin >> Q; while(Q--){ int x, y; cin >> x >> y; if(y < N){ es[y].pb(x); if(st[x] && en[y]) ans -= calc(x, y, N); } else{ en[x] = true; for(auto &e: es[x]){ if(st[e]) ans -= calc(e, x, N); } } cout << ans << '\n'; } }