#include #include #define rep(i,n) for(int i=0;i vi; typedef vector vl; typedef vector> vvi; typedef vector> vvl; typedef long double ld; typedef pair P; template ostream& operator<<(ostream& os, const static_modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const dynamic_modint& a) {os << a.val(); return os;} template istream& operator>>(istream& is, static_modint& a) {long long x; is >> x; a = x; return is;} template istream& operator>>(istream& is, dynamic_modint& a) {long long x; is >> x; a = x; return is;} template istream& operator>>(istream& is, vector& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;} template ostream& operator<<(ostream& os, const pair& p){os << p.first << ' ' << p.second; return os;} template ostream& operator<<(ostream& os, const vector& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const vector>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;} template ostream& operator<<(ostream& os, const set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const unordered_set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const atcoder::segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const atcoder::lazy_segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template void chmin(T& a, T b){a = min(a, b);} template void chmax(T& a, T b){a = max(a, b);} // https://youtu.be/ylWYSurx10A?t=2352 template struct Matrix : vector> { int h, w; Matrix(int h, int w, T val=0): vector>(h, vector(w, val)), h(h), w(w) {} Matrix(initializer_list> a) : vector>(a.begin(), a.end()){ assert(int(this->size()) >= 1); assert(int((*this)[0].size()) >= 1); h = this->size(); w = (*this)[0].size(); rep(i, h) assert(int((*this)[i].size()) == w); } Matrix& unit() { assert(h == w); rep(i,h) (*this)[i][i] = 1; return *this; } Matrix operator*=(const Matrix& M){ assert(w == M.h); Matrix r(h, M.w); rep(i,h) rep(k,w) rep(j, M.w){ r[i][j] += (*this)[i][k] * M[k][j]; } swap(*this, r); return *this; } Matrix operator*(const Matrix& M) const {return (Matrix(*this) *= M);} }; using S = Matrix; S op(S s1, S s2){ return s2 * s1; } S e(){ return S(3, 3).unit(); } int main(){ int n, q; cin >> n >> q; vector a(n); cin >> a; vector init; S mat0 = {{1, 0, 0}, {1, 1, 0}, {0, 0, 1}}; S mat1 = {{1, 0, 1}, {1, 1, 0}, {0, 0, 1}}; S mat9 = {{1, 0, 0}, {1, 1, 1}, {0, 0, 1}}; rep(i, n){ if(a[i] == 0) init.push_back(mat0); if(a[i] == 1) init.push_back(mat1); if(a[i] == 9) init.push_back(mat9); } segtree seg(init); rep(i, q){ int l, r; cin >> l >> r; l--; r--; auto res = seg.prod(l, r + 1); cout << res[1][2] << "\n"; } return 0; }