#pragma GCC optimize("Ofast")
#pragma GCC target ("sse4")

#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acosl(-1.0);

ll mod_pow(ll x, ll n, ll m = mod) {
    ll res = 1;
    while (n) {
        if (n & 1)res = res * x % m;
        x = x * x % m; n >>= 1;
    }
    return res;
}
struct modint {
    ll n;
    modint() :n(0) { ; }
    modint(ll m) :n(m) {
        if (n >= mod)n %= mod;
        else if (n < 0)n = (n % mod + mod) % mod;
    }
    operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
    if (n == 0)return modint(1);
    modint res = (a * a) ^ (n / 2);
    if (n % 2)res = res * a;
    return res;
}

ll inv(ll a, ll p) {
    return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 21;
modint fact[max_n], factinv[max_n];
void init_f() {
    fact[0] = modint(1);
    for (int i = 0; i < max_n - 1; i++) {
        fact[i + 1] = fact[i] * modint(i + 1);
    }
    factinv[max_n - 1] = modint(1) / fact[max_n - 1];
    for (int i = max_n - 2; i >= 0; i--) {
        factinv[i] = factinv[i + 1] * modint(i + 1);
    }
}
modint comb(int a, int b) {
    if (a < 0 || b < 0 || a < b)return 0;
    return fact[a] * factinv[b] * factinv[a - b];
}

typedef array<modint,4> vec;
using mat = array<vec, 4>;
mat mtmul(mat& A, mat& B) {
    mat C;
    rep(i, 4) {
        rep(k, 4) {
            rep(j, 4) {
                C[i][j] += A[i][k] * B[k][j];
            }
        }
    }
    return C;
}
mat mtpow(mat A, ll n) {
    mat B;
    rep(i,4) {
        B[i][i] = 1;
    }
    while (n > 0) {
        if (n & (ll)1)B = mtmul(B, A);
        A = mtmul(A, A);
        n >>= 1;
    }
    return B;
}

int mebius[1 << 20];
vector<int> chcnt(1 << 20);
int loc[1 << 20];
vector<int> ch[1 << 20];
bool isp[1 << 20];
void init() {
    fill(isp + 2, isp + (1 << 20), true);
    fill(mebius, mebius + (1 << 20), 1);
    for (int i = 2; i < (1 << 20); i++) {
        if (!isp[i])continue;
        mebius[i] *= -1;
        for (int j = 2 * i; j < (1 << 20); j += i) {
            isp[j] = false;
            mebius[j] *= -1;
            if ((j / i) % i == 0) {
                mebius[j] = 0;
            }
        }
    }
    for (int i = 2; i < (1 << 20); i++) {
        for (int j = i; j < (1 << 20); j += i) {
            chcnt[j]++;
        }
    }
    for (int i = 2; i < (1 << 20); i++)ch[i].resize(chcnt[i]);
    for (int i = 2; i < (1 << 20); i++) {
        for (int j = i; j < (1 << 20); j += i) {
            ch[j][loc[j]]= i; loc[j]++;
        }
    }
}
void solve() {
    int n, m; cin >> n >> m;
    vector<int> a(n + 1);
    for (int i = 2; i <= n; i++)cin >> a[i];
    modint ans = 0;
    for (int j = 2; j < n; j++) {
        if (n % j)continue;
        for (int d : ch[j])if(d>1&&d<j) {
            mat mt = array<vec,4>{ vec{0,1,0,0},vec{0,a[n] - 1,1,0},vec{0,0,a[j] - 1,1},vec{0,0,0,a[d]-1} };
            mt = mtpow(mt, m);
            ans += mt[0][3];
            //cout << d << " " << j << " " << mt[0][3] << "\n";
        }
    }
    cout << ans << "\n";
    vector<bool> canend(n+1);
    rep1(i, n)if (n % i == 0)canend[i] = true;
    int q; cin >> q;
    rep(i, q) {
        int l, r; cin >> l >> r;
        if (r == n) {
            for (int d : ch[l])if(d>1&&d<l) {
                mat mt = array<vec, 4>{ vec{ 0,1,0,0 }, vec{ 0,a[n] - 1,1,0 }, vec{ 0,0,a[l] - 1,1 }, vec{ 0,0,0,a[d] - 1 } };
                mt = mtpow(mt, m);
                ans += mt[0][3];
            }
            canend[l] = true;
        }
        else {
            if (canend[r]) {
                mat mt = array<vec, 4>{ vec{ 0,1,0,0 }, vec{ 0,a[n] - 1,1,0 }, vec{ 0,0,a[r] - 1,1 }, vec{ 0,0,0,a[l] - 1 } };
                mt = mtpow(mt, m);
                ans += mt[0][3];
            }
            ch[r].push_back(l);
        }
        cout << ans << "\n";
    }
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    //cout << fixed << setprecision(15);
    //init_f();
    init();
    //expr();
    //int t; cin >> t; rep(i, t)
    solve();
    return 0;
}