#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
struct node {
int s, e;
ll mx;
node *l, *r;
node (int _s, int _e, ll A[] = NULL): s(_s), e(_e), mx(0), l(NULL), r(NULL) {
if (A == NULL) return;
if (s == e) mx = A[s];
else {
l = new node(s, (s+e)>>1, A), r = new node((s+e+2)>>1, e, A);
combine();
}
}
void combine() {
if (l == NULL) return;
mx = max(l->mx, r->mx);
}
ll range_max(int x, int y) {
if (s == x && e == y) return mx;
if (l == NULL) return mx;
int m = (s+e)>>1;
if (y <= m) return l->range_max(x, y);
if (x > m) return r->range_max(x, y);
return max(l->range_max(x, m), r->range_max(m+1, y));
}
~node() {
if (l != NULL) delete l;
if (r != NULL) delete r;
}
} *root;
struct node2 {
int s, e;
ll mn, mx, sum;
bool lset;
ll add_val, set_val;
node2 *l, *r;
node2 (int _s, int _e, int A[] = NULL): s(_s), e(_e), mn(0), mx(0), sum(0), lset(0), add_val(0), set_val(0), l(NULL), r(NULL) {
if (A == NULL) return;
if (s == e) mn = mx = sum = A[s];
else {
l = new node2(s, (s+e)>>1, A), r = new node2((s+e+2)>>1, e, A);
combine();
}
}
void create_children() {
if (s == e) return;
if (l != NULL) return;
int m = (s+e)>>1;
l = new node2(s, m);
r = new node2(m+1, e);
}
void self_set(ll v) {
lset = 1;
mn = mx = set_val = v;
sum = v * (e-s+1);
add_val = 0;
}
void self_add(ll v) {
if (lset) { self_set(v + set_val); return; }
mn += v, mx += v, add_val += v;
sum += v*(e-s+1);
}
void lazy_propagate() {
if (s == e) return;
if (lset) {
l->self_set(set_val), r->self_set(set_val);
lset = set_val = 0;
}
if (add_val != 0) {
l->self_add(add_val), r->self_add(add_val);
add_val = 0;
}
}
void combine() {
if (l == NULL) return;
sum = l->sum + r->sum;
mn = min(l->mn, r->mn);
mx = max(l->mx, r->mx);
}
void add(int x, int y, ll v) {
if (s == x && e == y) { self_add(v); return; }
int m = (s+e)>>1;
create_children(); lazy_propagate();
if (x <= m) l->add(x, min(y, m), v);
if (y > m) r->add(max(x, m+1), y, v);
combine();
}
void set(int x, int y, ll v) {
if (s == x && e == y) { self_set(v); return; }
int m = (s+e)>>1;
create_children(); lazy_propagate();
if (x <= m) l->set(x, min(y, m), v);
if (y > m) r->set(max(x, m+1), y, v);
combine();
}
ll range_sum(int x, int y) {
if (s == x && e == y) return sum;
if (l == NULL || lset) return (sum / (e-s+1)) * (y-x+1);
int m = (s+e)>>1;
lazy_propagate();
if (y <= m) return l->range_sum(x, y);
if (x > m) return r->range_sum(x, y);
return l->range_sum(x, m) + r->range_sum(m+1, y);
}
ll range_min(int x, int y) {
if (s == x && e == y) return mn;
if (l == NULL || lset) return mn;
int m = (s+e)>>1;
lazy_propagate();
if (y <= m) return l->range_min(x, y);
if (x > m) return r->range_min(x, y);
return min(l->range_min(x, m), r->range_min(m+1, y));
}
ll range_max(int x, int y) {
if (s == x && e == y) return mx;
if (l == NULL || lset) return mx;
int m = (s+e)>>1;
lazy_propagate();
if (y <= m) return l->range_max(x, y);
if (x > m) return r->range_max(x, y);
return max(l->range_max(x, m), r->range_max(m+1, y));
}
~node2() {
if (l != NULL) delete l;
if (r != NULL) delete r;
}
} *root2;
struct node3 {
int s, e;
vector<ll> mst;
node3 *l, *r;
node3 (int _s, int _e, ll A[] = NULL): s(_s), e(_e), mst(vector<ll>(0)), l(NULL), r(NULL) {
if (A == NULL) return;
if (s == e) mst = vector<ll>(1,A[s]);
else {
l = new node3(s, (s+e)>>1, A), r = new node3((s+e+2)>>1, e, A);
combine();
}
}
void combine() {
if (l == NULL) return;
merge(l->mst.begin(),l->mst.end(),r->mst.begin(),r->mst.end(),back_inserter(mst));
}
ll query(int x, int y, int v) {
if (s == x && e == y){
return mst.end() - upper_bound(mst.begin(),mst.end(), v);
}
int m = (s+e)>>1;
if (y <= m) return l->query(x, y, v);
if (x > m) return r->query(x, y, v);
return l->query(x, m, v) + r->query(m+1, y, v);
}
~node3() {
if (l != NULL) delete l;
if (r != NULL) delete r;
}
} *root3;
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
ll n,q,t;
cin >> n >> q >> t;
ll a[n+5];
for (int i=0;i<n;i++){
cin >> a[i];
}
root2 = new node2(0,n+5);
root2->set(0,n+5,1);
ll lvl[n+5];
for (int i=n-1;i>=0;i--){
ll target = a[i]-i*(i+1)/2;
ll l=1,r=n,m;
while (l<r){
m = l+(r-l)/2;
if (root2->range_sum(1,m) < target) l=m+1;
else r=m;
}
lvl[l] = n-i;
root2->set(l,l,0);
}
root = new node(1,n,lvl);
root3 = new node3(1,n,lvl);
ll prev = 0;
while (q--){
ll x1,y1;
cin >> x1 >> y1;
ll x,y;
x = ((x1-1+t*prev)%((n+1)*(n+2)/2))+1;
y = ((y1-1+t*prev)%((n+1)*(n+2)/2))+1;
ll x2=x,y2=y;
ll cx,cy,rx,ry;
ll l=1,r=n+1,m;
while (l<r){
m = l+(r-l)/2;
if (m*(m+1)/2 < x) l=m+1;
else r=m;
}
x -= l*(l-1)/2;
rx = n-l+1;
l=1,r=n+1;
while (l<r){
m = l+(r-l)/2;
if (m*(m+1)/2 < y) l=m+1;
else r=m;
}
y -= l*(l-1)/2;
ry = n-l+1;
l=1,r=n+1;
while (l<r){
m = l+(r-l)/2;
ll pos = 1;
if (m!=1) pos = root3->query(1,m-1,rx)+1;
if (pos < x) l=m+1;
else r=m;
}
cx = l;
l=1,r=n+1;
while (l<r){
m = l+(r-l)/2;
ll pos = 1;
if (m!=1) pos = root3->query(1,m-1,ry)+1;
if (pos < y) l=m+1;
else r=m;
}
cy = l;
if (cx==cy){
if (rx>=ry){
cout << x2 << "\n";
prev = x2;
}
else {
cout << y2 << "\n";
prev = y2;
}
continue;
}
ll lca;
if (cy>cx) lca = root->range_max(cx,cy-1);
else lca = root->range_max(cy,cx-1);
if (max(rx,ry) >= lca){
if (rx>=ry){
cout << x2 << "\n";
prev = x2;
}
else {
cout << y2 << "\n";
prev = y2;
}
continue;
}
cout << a[n-lca] << "\n";
prev = a[n-lca];
}
}
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