#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
#include <cmath>
#define int long long
using namespace std;
const int N = 100010, mod = 1e9 + 7;
int a[N], n, m;
struct Matrix
{
int a[2][2];
void clear(int x) {memset(a, x, sizeof a);}
void makeI() { a[0][0] = 1; a[0][1] = 0; a[1][0] = 0; a[1][1] = 1; }
bool empty() {return ((a[0][0] == 1) and (a[0][1] == 0) and (a[1][0] == 0) and (a[1][1] == 1));}
}Turn, st;
Matrix operator + (const Matrix& A, const Matrix& B) {
Matrix res;
res.clear(0);
for (int i = 0; i <= 1; i ++ )
for (int j = 0; j <= 1; j ++ )
res.a[i][j] = (A.a[i][j] + B.a[i][j]) % mod;
return res;
}
Matrix operator * (const Matrix& A, const Matrix& B) {
Matrix res;
res.clear(0);
for (int i = 0; i <= 1; i ++ )
for (int j = 0; j <= 1; j ++ )
for (int k = 0; k <= 1; k ++ )
(res.a[i][j] += (A.a[i][k] * B.a[k][j])) %= mod;
return res;
}
Matrix operator ^ (Matrix A, int b) {
Matrix res;
res.makeI();
while (b) {
if (b & 1) res = res * A;
A = A * A;//, A = A % mod;
b >>= 1;
}
return res;
}
namespace Segment_Tree
{
struct Tree
{
int l, r;
Matrix sum, add;
#define ls u << 1
#define rs u << 1 | 1
}tr[N << 2];
void pushup(int u) {
tr[u].sum = tr[ls].sum + tr[rs].sum;
}
void pushdown(int u) {
if (!tr[u].add.empty()) {
tr[ls].add = tr[ls].add * tr[u].add;
tr[rs].add = tr[rs].add * tr[u].add;
tr[ls].sum = tr[ls].sum * tr[u].add;
tr[rs].sum = tr[rs].sum * tr[u].add;
tr[u].add.makeI();
}
}
void build(int u, int l, int r) {
tr[u] = {l, r};
tr[u].add.a[0][0] = tr[u].add.a[1][1] = 1;
if (l == r) {
if (a[l] == 1) tr[u].sum.a[0][0] = 1;
else tr[u].sum.a[0][0] = tr[u].sum.a[0][1] = 1;
if(a[l] > 2) tr[u].sum = tr[u].sum * (Turn ^ (a[l] - 2));
return;
}
int mid = l + r >> 1;
build(ls, l, mid), build(rs, mid + 1, r);
pushup(u);
}
void modify(int u, int l, int r, Matrix v) {
if (tr[u].l >= l && tr[u].r <= r) {
tr[u].add = tr[u].add * v, tr[u].sum = tr[u].sum * v;
return;
}
pushdown(u);
int mid = tr[u].l + tr[u].r >> 1;
if (l <= mid) modify(ls, l, r, v);
if (r > mid) modify(rs, l, r, v);
pushup(u);
}
int query(int u, int l, int r) {
pushdown(u);
// cout << tr[u].l << " " << tr[u].r << " " << tr[u].sum.a[0][0] << endl;
if (tr[u]. l >= l && tr[u].r <= r) return tr[u].sum.a[0][0];
pushdown(u);
int mid = tr[u].l + tr[u].r >> 1, res = 0;
if (l <= mid) res = (res + query(ls, l, r)) % mod;
if (r > mid) res = (res + query(rs, l, r)) % mod;
return res;
}
}
using namespace Segment_Tree;
signed main()
{
// Init
{
st.a[0][0] = st.a[0][1] = 1;
Turn.a[0][0] = Turn.a[0][1] = Turn.a[1][0] = 1;
}
// Matrix x = st * Turn;
// cout << x.a[0][0] << endl;
// x = x * Turn;
// cout << x.a[0][0] << endl;
// Input
scanf("%lld%lld", &n, &m);
for (int i = 1; i <= n; i ++ )
scanf("%lld", &a[i]);
build(1, 1, n);
// Methods
while (m -- )
{
int op, l, r, v;
scanf("%lld%lld%lld", &op, &l, &r);
if (op == 1) {
scanf("%lld", &v);
modify(1, l, r, Turn ^ v);
}
else {
printf("%lld\n", query(1, l, r) % mod);
}
}
return 0;
}