Problem: — Willem...

— What's the matter?

— It seems that there's something wrong with Seniorious...

— I'll have a look...

<image>

Seniorious is made by linking special talismans in particular order.

After over 500 years, the carillon is now in bad condition, so Willem decides to examine it thoroughly.

Seniorious has n pieces of talisman. Willem puts them in a line, the i-th of which is an integer ai.

In order to maintain it, Willem needs to perform m operations.

There are four types of operations:

  * 1 l r x: For each i such that l ≤ i ≤ r, assign ai + x to ai.
  * 2 l r x: For each i such that l ≤ i ≤ r, assign x to ai.
  * 3 l r x: Print the x-th smallest number in the index range [l, r], i.e. the element at the x-th position if all the elements ai such that l ≤ i ≤ r are taken and sorted into an array of non-decreasing integers. It's guaranteed that 1 ≤ x ≤ r - l + 1.
  * 4 l r x y: Print the sum of the x-th power of ai such that l ≤ i ≤ r, modulo y, i.e. <image>.

Input

The only line contains four integers n, m, seed, vmax (1 ≤ n, m ≤ 105, 0 ≤ seed < 109 + 7, 1 ≤ vmax ≤ 109).

The initial values and operations are generated using following pseudo code:
    
    
      
    def rnd():  
      
        ret = seed  
        seed = (seed * 7 + 13) mod 1000000007  
        return ret  
      
    for i = 1 to n:  
      
        a[i] = (rnd() mod vmax) + 1  
      
    for i = 1 to m:  
      
        op = (rnd() mod 4) + 1  
        l = (rnd() mod n) + 1  
        r = (rnd() mod n) + 1  
      
        if (l > r):   
             swap(l, r)  
      
        if (op == 3):  
            x = (rnd() mod (r - l + 1)) + 1  
        else:  
            x = (rnd() mod vmax) + 1  
      
        if (op == 4):  
            y = (rnd() mod vmax) + 1  
      
    

Here op is the type of the operation mentioned in the legend.

Output

For each operation of types 3 or 4, output a line containing the answer.

Examples

Input

10 10 7 9


Output

2
1
0
3


Input

10 10 9 9


Output

1
1
3
3

Note

In the first example, the initial array is {8, 9, 7, 2, 3, 1, 5, 6, 4, 8}.

The operations are:

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

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const long long MAXN = 100005;
long long n, m, seed, vmax, a[MAXN];
long long rnd() {
  long long ret = seed;
  seed = (seed * 7 + 13) % 1000000007;
  return ret;
}
long long ksm(long long n, long long k, long long p) {
  long long base = n % p, ans = 1;
  while (k) {
    if (k & 1) ans = ans * base % p;
    k >>= 1;
    base = base * base % p;
  }
  return ans % p;
}
struct node {
  long long ll, rr;
  mutable long long val;
  node(long long L, long long R = -1, long long V = 0) : ll(L), rr(R), val(V) {}
  bool operator<(const node& rhs) const { return ll < rhs.ll; }
};
set<node> s;
set<node>::iterator split(long long pos) {
  set<node>::iterator iter = s.lower_bound(node(pos));
  if (iter != s.end() && iter->ll == pos) return iter;
  --iter;
  long long l = iter->ll, r = iter->rr, v = iter->val;
  s.erase(iter);
  s.insert(node(l, pos - 1, v));
  return s.insert(node(pos, r, v)).first;
}
void assign(long long l, long long r, long long v) {
  set<node>::iterator itr = split(r + 1), itl = split(l);
  s.erase(itl, itr);
  s.insert(node(l, r, v));
}
long long querysum(long long l, long long r) {
  set<node>::iterator itr = split(r + 1), itl = split(l);
  long long res = 0;
  for (; itl != itr; itl++) res = res + (itl->rr - itl->ll + 1) * itl->val;
  return res;
}
long long kth(long long l, long long r, long long k) {
  vector<pair<long long, long long> > v;
  set<node>::iterator itr = split(r + 1), itl = split(l);
  for (; itl != itr; itl++)
    v.push_back(pair<long long, long long>(itl->val, itl->rr - itl->ll + 1));
  sort(v.begin(), v.end());
  for (vector<pair<long long, long long> >::iterator iter = v.begin();
       iter != v.end(); iter++) {
    k -= iter->second;
    if (k <= 0) return iter->first;
  }
  return -1;
}
void add(long long l, long long r, long long k) {
  set<node>::iterator itr = split(r + 1), itl = split(l);
  for (; itl != itr; itl++) itl->val += k;
}
long long querypow(long long l, long long r, long long k, long long mod) {
  set<node>::iterator itr = split(r + 1), itl = split(l);
  long long res = 0;
  for (; itl != itr; itl++)
    res =
        (res + ksm(itl->val, k, mod) * ((itl->rr - itl->ll + 1) % mod) % mod) %
        mod;
  return res;
}
signed main() {
  scanf("%lld%lld%lld%lld", &n, &m, &seed, &vmax);
  for (long long i = 1; i <= n; i++) {
    a[i] = (rnd() % vmax) + 1;
    s.insert(node(i, i, a[i]));
  }
  for (long long i = 1; i <= m; i++) {
    long long opt = (rnd() % 4) + 1;
    long long l = (rnd() % n) + 1;
    long long r = (rnd() % n) + 1;
    if (l > r) swap(l, r);
    long long x, y;
    if (opt == 3)
      x = (rnd() % (r - l + 1)) + 1;
    else
      x = (rnd() % vmax) + 1;
    if (opt == 4) y = (rnd() % vmax) + 1;
    if (opt == 1) add(l, r, x);
    if (opt == 2) assign(l, r, x);
    if (opt == 3) printf("%lld\n", kth(l, r, x));
    if (opt == 4) printf("%lld\n", querypow(l, r, x, y));
  }
  return 0;
}