Problem: At the children's day, the child came to Picks's house, and messed his house up. Picks was angry at him. A lot of important things were lost, in particular the favorite sequence of Picks.

Fortunately, Picks remembers how to repair the sequence. Initially he should create an integer array a[1], a[2], ..., a[n]. Then he should perform a sequence of m operations. An operation can be one of the following:

  1. Print operation l, r. Picks should write down the value of <image>. 
  2. Modulo operation l, r, x. Picks should perform assignment a[i] = a[i] mod x for each i (l ≤ i ≤ r). 
  3. Set operation k, x. Picks should set the value of a[k] to x (in other words perform an assignment a[k] = x). 



Can you help Picks to perform the whole sequence of operations?

Input

The first line of input contains two integer: n, m (1 ≤ n, m ≤ 105). The second line contains n integers, separated by space: a[1], a[2], ..., a[n] (1 ≤ a[i] ≤ 109) — initial value of array elements.

Each of the next m lines begins with a number type <image>. 

  * If type = 1, there will be two integers more in the line: l, r (1 ≤ l ≤ r ≤ n), which correspond the operation 1. 
  * If type = 2, there will be three integers more in the line: l, r, x (1 ≤ l ≤ r ≤ n; 1 ≤ x ≤ 109), which correspond the operation 2. 
  * If type = 3, there will be two integers more in the line: k, x (1 ≤ k ≤ n; 1 ≤ x ≤ 109), which correspond the operation 3. 

Output

For each operation 1, please print a line containing the answer. Notice that the answer may exceed the 32-bit integer.

Examples

Input

5 5
1 2 3 4 5
2 3 5 4
3 3 5
1 2 5
2 1 3 3
1 1 3


Output

8
5


Input

10 10
6 9 6 7 6 1 10 10 9 5
1 3 9
2 7 10 9
2 5 10 8
1 4 7
3 3 7
2 7 9 9
1 2 4
1 6 6
1 5 9
3 1 10


Output

49
15
23
1
9

Note

Consider the first testcase:

  * At first, a = {1, 2, 3, 4, 5}. 
  * After operation 1, a = {1, 2, 3, 0, 1}. 
  * After operation 2, a = {1, 2, 5, 0, 1}. 
  * At operation 3, 2 + 5 + 0 + 1 = 8. 
  * After operation 4, a = {1, 2, 2, 0, 1}. 
  * At operation 5, 1 + 2 + 2 = 5. 

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
long long int arr[100005], sum[400005], maxi[400005], n;
void update(long long int node, long long int a, long long int b,
            long long int idx, long long int val) {
  if (a == b) {
    arr[a] = val;
    sum[node] = val;
    maxi[node] = a;
    return;
  }
  long long int mid = (a + b) / 2;
  if (idx <= mid)
    update(2 * node, a, mid, idx, val);
  else
    update(2 * node + 1, mid + 1, b, idx, val);
  sum[node] = sum[2 * node] + sum[2 * node + 1];
  if (arr[maxi[2 * node]] > arr[maxi[2 * node + 1]])
    maxi[node] = maxi[2 * node];
  else
    maxi[node] = maxi[2 * node + 1];
}
long long int query(long long int node, long long int a, long long int b,
                    long long int l, long long int r) {
  if (a > b || r < a || b < l) return 0;
  if (a >= l && b <= r) return sum[node];
  int mid = (a + b) / 2;
  return query(2 * node, a, mid, l, r) + query(2 * node + 1, mid + 1, b, l, r);
}
long long int query_max(long long int node, long long int a, long long int b,
                        long long int l, long long int r) {
  if (a > b || a > r || b < l) return n + 1;
  if (a >= l && b <= r) return maxi[node];
  long long int mid = (a + b) / 2;
  long long int idx1 = query_max(2 * node, a, mid, l, r);
  long long int idx2 = query_max(2 * node + 1, mid + 1, b, l, r);
  if (arr[idx1] > arr[idx2])
    return idx1;
  else
    return idx2;
}
int main() {
  long long int i, j, q, x, y, idx, val, type, l, r, mod;
  cin >> n >> q;
  for (i = 1; i <= n; i++) {
    cin >> arr[i];
    update(1, 1, n, i, arr[i]);
  }
  arr[n + 1] = -1;
  while (q--) {
    cin >> type;
    if (type == 1) {
      cin >> l >> r;
      cout << query(1, 1, n, l, r) << endl;
    } else if (type == 2) {
      cin >> l >> r >> mod;
      while (1) {
        idx = query_max(1, 1, n, l, r);
        if (arr[idx] < mod) break;
        update(1, 1, n, idx, arr[idx] % mod);
      }
    } else {
      cin >> idx >> val;
      update(1, 1, n, idx, val);
    }
  }
  return 0;
}