#include using namespace std; template inline bool chmax(T &a, T b) { return ((a < b) ? (a = b, true) : (false)); } template inline bool chmin(T &a, T b) { return ((a > b) ? (a = b, true) : (false)); } #define rep(i, n) for (long long i = 0; i < (long long)(n); i++) #define rep2(i, m ,n) for (int i = (m); i < (long long)(n); i++) #define REP(i, n) for (long long i = 1; i < (long long)(n); i++) typedef long long ll; #define updiv(N,X) (N + X - 1) / X #define l(n) n.begin(),n.end() #define YesNo(Q) Q==1?cout<<"Yes":cout<<"No" using P = pair; const long long INF = 1e18; unsigned int bit_ceil(unsigned int n) { unsigned int x = 1; while (x < (unsigned int)(n)) x *= 2; return x; } // @param n `1 <= n` // @return same with std::bit::countr_zero int countr_zero(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } // @param n `1 <= n` // @return same with std::bit::countr_zero constexpr int countr_zero_constexpr(unsigned int n) { int x = 0; while (!(n & (1 << x))) x++; return x; } template struct lazy_segtree { public: lazy_segtree() : lazy_segtree(0) {} explicit lazy_segtree(int n) : lazy_segtree(std::vector(n, e())) {} explicit lazy_segtree(const std::vector& v) : _n(int(v.size())) { size = (int)bit_ceil((unsigned int)(_n)); log = countr_zero((unsigned int)size); d = std::vector(2 * size, e()); lz = std::vector(size, id()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); return d[p]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); if (l == r) return e(); l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } S sml = e(), smr = e(); while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } void apply(int p, F f) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = mapping(f, d[p]); for (int i = 1; i <= log; i++) update(p >> i); } void apply(int l, int r, F f) { assert(0 <= l && l <= r && r <= _n); if (l == r) return; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, f); if (r & 1) all_apply(--r, f); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } template int max_right(int l) { return max_right(l, [](S x) { return g(x); }); } template int max_right(int l, G g) { assert(0 <= l && l <= _n); assert(g(e())); if (l == _n) return _n; l += size; for (int i = log; i >= 1; i--) push(l >> i); S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!g(op(sm, d[l]))) { while (l < size) { push(l); l = (2 * l); if (g(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) { return min_left(r, [](S x) { return g(x); }); } template int min_left(int r, G g) { assert(0 <= r && r <= _n); assert(g(e())); if (r == 0) return 0; r += size; for (int i = log; i >= 1; i--) push((r - 1) >> i); S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!g(op(d[r], sm))) { while (r < size) { push(r); r = (2 * r + 1); if (g(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector d; std::vector lz; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } void all_apply(int k, F f) { d[k] = mapping(f, d[k]); if (k < size) { lz[k] = composition(f, lz[k]); if (d[k].fail) push(k), update(k); // <-- add } } void push(int k) { all_apply(2 * k, lz[k]); all_apply(2 * k + 1, lz[k]); lz[k] = id(); } }; namespace segt{ ll isqrt(ll n) { return floor(sqrt((double long)(n))+0.0000000001); } struct S{ ll mx; ll mn; ll sz; ll sm; bool fail; S() : mx(0), mn(INF), sz(0), sm(0), fail(false) {} S(ll x, ll sz_ = 1) : mx(x), mn(x), sz(sz_), sm(x * sz_), fail(false) {} }; S e(){ return S(); } S op(S a,S b){ if (b.sz == 0) return a; if (a.sz == 0) return b; S ret; ret.mx = max(a.mx,b.mx); ret.mn = min(a.mn,b.mn); ret.sz = a.sz+b.sz; ret.sm = a.sm+b.sm; ret.fail = false; return ret; } struct F{ ll val; int num; bool flag; F() : val(0),num(0),flag(false) {} }; F id(){ return F(); } F composition(F nw,F old){ if(nw.flag){return nw;} if(old.flag){ rep(i,nw.num){ if(1==old.val){break;} old.val = isqrt(old.val); } old.flag = true; old.num = 0; return old; } F res; res.val = 0; res.num = old.num + nw.num; res.flag = false; return res; } S mapping(F f, S x) { if(x.fail) return x; if(f.flag) { x.mx = f.val; x.mn = f.val; x.sm = f.val * x.sz; } if(f.num > 0) { if(x.mx == x.mn) { ll v = x.mx; rep(i, f.num) { if(v <= 1){break;} v = isqrt(v); } x.mx = v; x.mn = v; x.sm = v * x.sz; } else { x.fail = true; } } return x; } using segtree = lazy_segtree; } using namespace segt; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n,q;cin>>n>>q; vector a(n); rep(i,n){ ll x;cin>>x; a[i] = S(x,1); } segtree seg(a); while(q--){ int t;cin>>t; if(t==0){ int l,r;cin>>l>>r; cout << seg.prod(l,r).sm << endl; } else if(t==1){ int l, r; ll x; cin>>l>>r>>x; F f; f.flag = true; f.val = x; seg.apply(l, r, f); } else if(t==2) { int l, r; cin>>l>>r; F f; f.num = 1; seg.apply(l,r,f); } } }