using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, q) = (c[0], c[1]); var query = NArr(q); WriteLine(string.Join("\n", Queries(n, q, query))); } static List Queries(int n, int q, int[][] query) { var init = new Info[n]; for (var i = 0; i < n; ++i) init[i] = new Info(0, i, 0, 1); { var fib = new long[n]; if (n > 1) fib[1] = 1; for (var i = 2; i < n; ++i) fib[i] = (fib[i - 2] + fib[i - 1]) % mod; FibDic.Add(fib); } var width = 2; while (width <= n) { var prev = FibDic[^1]; var nfib = new long[n]; for (var i = 0; i < nfib.Length; i += width) { if (i + width / 2 < n) nfib[i] = (prev[i] + prev[i + width / 2]) % mod; else nfib[i] = prev[i]; } FibDic.Add(nfib); width <<= 1; } // foreach (var f in FibDic) WriteLine(string.Join(" ", f)); var seg = new AtCoder.LazySegtree(init); var ans = new List(); for (var i = 0; i < q; ++i) { var qk = query[i][0]; var ql = query[i][1]; var qr = query[i][2] + 1; var qx = query[i][3]; if (qk == 0) { ans.Add(seg.Prod(ql, qr).Value * qx % mod); } else if (qk == 1) { seg.Apply(ql, qr, new Func(qx, 0, 1, 0)); } else if (qk == 2) { seg.Apply(ql, qr, new Func(-1, qx, 1, 0)); } else if (qk == 3) { seg.Apply(ql, qr, new Func(-1, 0, qx, 0)); } else { seg.Apply(ql, qr, new Func(-1, 0, 1, qx)); } } return ans; } static int mod = 1_000_000_007; static List FibDic = new List(); struct Info { public long Value; public int Left; public int Level; public int Length; public Info(long value, int left, int level, int length) { Value = value; Left = left; Level = level; Length = length; } } struct Func { public long Upd; public long Add; public long Mul; public long Fib; public Func(long upd, long add, long mul, long fib) { Upd = upd; Add = add; Mul = mul; Fib = fib; } } struct SegOp : AtCoder.ILazySegtreeOperator { public Info Identity => new Info(0, 0, -1, 0); public Func FIdentity => new Func(-1, 0, 1, 0); public Func Composition(Func nf, Func cf) { if (nf.Upd == FIdentity.Upd && nf.Add == FIdentity.Add && nf.Mul == FIdentity.Mul && nf.Fib == FIdentity.Fib) return cf; if (cf.Upd == FIdentity.Upd && cf.Add == FIdentity.Add && cf.Mul == FIdentity.Mul && cf.Fib == FIdentity.Fib) return nf; if (nf.Upd >= 0) return nf; return new Func( cf.Upd, (cf.Add * nf.Mul + nf.Add) % mod, cf.Mul * nf.Mul % mod, (cf.Fib * nf.Mul + nf.Fib) % mod); } public Info Mapping(Func f, Info x) { if (x.Level < 0) return x; if (f.Upd == FIdentity.Upd && f.Add == FIdentity.Add && f.Mul == FIdentity.Mul && f.Fib == FIdentity.Fib) return x; if (f.Upd >= 0) return new Info(((f.Upd * f.Mul % mod + f.Add) * x.Length % mod + f.Fib * FibDic[x.Level][x.Left]) % mod, x.Left, x.Level, x.Length); if (f.Fib == 0) return new Info((x.Value * f.Mul + f.Add * x.Length) % mod, x.Left, x.Level, x.Length); return new Info((x.Value * f.Mul % mod + f.Add * x.Length % mod + f.Fib * FibDic[x.Level][x.Left]) % mod, x.Left, x.Level, x.Length); } public Info Operate(Info x, Info y) { if (y.Level < 0) return new Info(x.Value, x.Left, x.Level + 1, x.Length); return new Info((x.Value + y.Value) % mod, x.Left, x.Level + 1, x.Length + y.Length); } } }