#include #include #include #include #include #include using namespace std; using int64 = long long; static int N, SZ; static vector SM; static vector MX; static vector TG; // -1 = non-uniform, else uniform value static inline int64 isqrt64(int64 x) { if (x < 2) return x; int64 r = (int64)sqrtl((long double)x); while (r > 0 && r * r > x) r--; while ((r + 1) * (r + 1) <= x) r++; return r; } static inline void put(int v, int len, int64 x) { SM[v] = x * len; MX[v] = (int)x; TG[v] = x; } static inline void push(int v, int lenL, int lenR) { if (TG[v] != -1) { put(2*v, lenL, TG[v]); put(2*v+1, lenR, TG[v]); TG[v] = -1; } } static inline void pull(int v) { SM[v] = SM[2*v] + SM[2*v+1]; MX[v] = max(MX[2*v], MX[2*v+1]); TG[v] = (TG[2*v] != -1 && TG[2*v] == TG[2*v+1]) ? TG[2*v] : -1; } void build(int v, int l, int r, const vector& A) { if (r - l == 1) { int x = (l < N) ? A[l] : 0; SM[v] = x; MX[v] = x; TG[v] = x; return; } int m = (l + r) >> 1; build(2*v, l, m, A); build(2*v+1, m, r, A); pull(v); } void upd_assign(int v, int l, int r, int ql, int qr, int64 x) { if (qr <= l || r <= ql) return; if (ql <= l && r <= qr) { put(v, r - l, x); return; } int m = (l + r) >> 1; push(v, m - l, r - m); upd_assign(2*v, l, m, ql, qr, x); upd_assign(2*v+1, m, r, ql, qr, x); pull(v); } void upd_sqrt(int v, int l, int r, int ql, int qr) { if (qr <= l || r <= ql || MX[v] <= 1) return; if (ql <= l && r <= qr && TG[v] != -1) { put(v, r - l, isqrt64(TG[v])); return; } int m = (l + r) >> 1; push(v, m - l, r - m); upd_sqrt(2*v, l, m, ql, qr); upd_sqrt(2*v+1, m, r, ql, qr); pull(v); } int64 qry_sum(int v, int l, int r, int ql, int qr) { if (qr <= l || r <= ql) return 0; if (ql <= l && r <= qr) return SM[v]; int m = (l + r) >> 1; push(v, m - l, r - m); return qry_sum(2*v, l, m, ql, qr) + qry_sum(2*v+1, m, r, ql, qr); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int Q; cin >> N >> Q; vector A(N); for (int i = 0; i < N; i++) cin >> A[i]; SZ = 1; while (SZ < max(N, 1)) SZ <<= 1; SM.assign(2 * SZ, 0); MX.assign(2 * SZ, 0); TG.assign(2 * SZ, -1); build(1, 0, SZ, A); string out; out.reserve(Q * 12); for (int q = 0; q < Q; q++) { int t, l, r; cin >> t >> l >> r; if (t == 0) { out += to_string(qry_sum(1, 0, SZ, l, r)); out += '\n'; } else if (t == 1) { int x; cin >> x; upd_assign(1, 0, SZ, l, r, x); } else { upd_sqrt(1, 0, SZ, l, r); } } cout << out; return 0; }