This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define pb push_back
#define int long long
using namespace std;
const int mod = 1e9 + 7;
const int inf = 1e9;
const int N = 2e5 + 5;
 vector<int> a(N), dpg(N);
 int go_par(int x, int depx){
  if(x <= 3) return 1;
  return (x - (depx - 1 + ((a[depx-1] - dpg[depx-1]) < (x - dpg[depx]))));
 }
int find_dep(int x){
  int l = 1, r = N;
  while(l < r){
    int m = (l + r)/2;
    if(x <= m * (m + 1) / 2) r = m;
    else l = m + 1;
  }
  return l;
}
int32_t main(){
  ios_base::sync_with_stdio(false);
  cin.tie(0); cout.tie(0);
  int n, q, t;
  cin>>n>>q>>t;
  for(int i = 1; i <= n; i++){
    cin>>a[i];
  }
  for(int i = 1; i <= n+2; i++){
    dpg[i] = i * (i - 1) / 2;
  }
  vector<int> x(q+1), y(q+1), z(q+1);
  for(int i = 1; i <= q; i++){
    cin>>x[i]>>y[i];
    int u = (x[i] - 1 + t * z[i-1]) % ((n+1) * (n+2) / 2) + 1;
    int v = (y[i] - 1 + t * z[i-1]) % ((n+1) * (n+2) / 2) + 1;
    int depu = find_dep(u), depv = find_dep(v);
    while(depv > depu){
      v = go_par(v, depv);
      depv--;
    }
    while(depu > depv){
      u = go_par(u, depu);
      depu--;
    }
    while(u != v){
      v = go_par(v, depv);
      u = go_par(u, depu);
      depu--;
      depv--;
    }
    cout<<u<<endl;
    z[i] = u;
  }
  return 0;
}
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