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 ST first
#define ND second
#define PB push_back
#define int long long
using namespace std;
using ll = long long;
using pi = pair<int,int>;
using vi = vector<int>;
const int nax = 400 * 1000 + 10;
int n, q, t;
ll seq[nax];
vector<pair<ll, int>>T1[(1 << 19)];
vector<pair<ll, int>>T2[(1 << 19)];
int R;
vi V[nax];
map<ll,int>sc;
ll starting[nax];
void add(int a, int b, int x, int ti) {
a += R; b += R;
T1[a].PB({T1[a].back().ST + x, ti});
if(a != b) T1[b].PB({T1[b].back().ST + x, ti});
while(a / 2 != b / 2) {
if(a % 2 == 0) T1[a + 1].PB({T1[a + 1].back().ST + x, ti});
if(b % 2 == 1) T1[b - 1].PB({T1[b - 1].back().ST + x, ti});
a /= 2;
b /= 2;
}
}
void ustaw(int a, int b, ll x, int ti) {
a += R; b += R;
T2[a].PB({x, ti});
if(a != b) T2[b].PB({x, ti});
while(a / 2 != b / 2) {
if(a % 2 == 0) T2[a + 1].PB({x, ti});
if(b % 2 == 1) T2[b - 1].PB({x, ti});
a /= 2;
b /= 2;
}
}
ll askVal(int x) {
x += R;
pair<ll,int> w = T2[x].back();
while(x > 1) {
x /= 2;
if(w.ND > T2[x].back().ND) {
w = T2[x].back();
}
}
return w.ST;
}
int ask(int x) {
x += R;
int w = T1[x].back().ST;
while(x > 1) {
x /= 2;
w += T1[x].back().ST;
}
return w;
}
pair<ll,int> g(vector<pair<ll,int>>&vec, int ti) {
int low = 0, high = (int)vec.size() - 1, mid;
while(low <= high) {
mid = (low + high) / 2;
if(vec[mid].ND >= ti) {
low = mid + 1;
} else {
high = mid - 1;
}
}
return vec[low - 1];
}
ll askVal2(int x, int ti) {
x += R;
pair<ll,int>w = g(T2[x], ti);
while(x > 1) {
x /= 2;
pair<ll,int>w2 = g(T2[x], ti);
if(w2.ND < w.ND) {
w = w2;
}
}
return w.ST;
}
int ask2(int x, int ti) {
x += R;
int w = g(T1[x], ti).ST;
while(x > 1) {
x /= 2;
w += g(T1[x], ti).ST;
}
return w;
}
int f(int x) {
int low = 1, high = n + 1, mid;
while(low <= high) {
mid = (low + high) / 2;
if(ask(mid) >= x) {
high = mid - 1;
} else {
low = mid + 1;
}
}
return high + 1;
}
int f2(int x, int ti) {
int low = 1, high = n + 1, mid;
while(low <= high) {
mid = (low + high) / 2;
if(ask2(mid, ti) >= x) {
high = mid - 1;
} else {
low = mid + 1;
}
}
return high + 1;
}
ll ustal(ll x) {
int low = 1, high = n + 1, mid;
while(low <= high) {
mid = (low + high) / 2;
if(starting[mid] <= x) {
low = mid + 1;
} else {
high = mid - 1;
}
}
low--;
int k = x - starting[low] + 1;
int dep = low;
int pos = f2(k, dep);
return askVal2(pos, dep);
}
int par[2*nax][19], dp[2*nax];
ll inv[2 * nax];
void dfs(int x) {
for(int nbh : V[x]) {
dp[nbh] = dp[x] + 1;
dfs(nbh);
par[nbh][0] = x;
}
}
int lca(int a, int b) {
if(dp[a] < dp[b]) swap(a, b);
for(int i = 18; i >= 0; --i) {
if(dp[par[a][i]] >= dp[b]) {
a = par[a][i];
}
}
if(a == b) return -a;
for(int i = 18; i >= 0; --i) {
if(par[a][i] != par[b][i]) {
a = par[a][i];
b = par[b][i];
}
}
return par[a][0];
}
__int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> q >> t;
ll start = 1;
for(int i = 1; i <= n; ++i) {
starting[i] = start;
cin >> seq[i];
sc[seq[i]];
start += i;
}
starting[n + 1] = start;
R = 1;
while(R <= n + 1) R *= 2;
for(int i = 1; i < 2 * R; ++i) {
T1[i].PB({0, n + 2});
T2[i].PB({0, n + 2});
}
for(int i = 1; i <= n + 1; ++i) {
add(i, i, i, n + 1);
ustaw(i, i, start + i - 1, n + 1);
sc[start + i - 1];
}
int nr = 1;
for(auto &it : sc) {
inv[nr] = it.ST;
it.ND = nr++;
}
for(int i = n; i >= 1; --i) {
// val = a[i] + i - start + 1
int val = seq[i] + i - start + 1;
int pos = f(val + 1);
int l = f(val), r = f(val + 2) - 1;
int val1 = askVal(l);
int val2 = askVal(r);
V[sc[seq[i]]].PB(sc[val1]);
V[sc[seq[i]]].PB(sc[val2]);
ustaw(l, r, seq[i], i);
add(pos, n + 1, -1, i);
start -= i;
}
ll ans = 0;
dp[1] = 1;
dfs(sc[1]);
for(int s = 1; s <= 18; ++s) {
for(int i = 1; i <= nr; ++i) {
par[i][s] = par[par[i][s - 1]][s - 1];
}
}
while(q--) {
ll x, y;
cin >> x >> y;
x = ((x - 1 + t * ans)%((ll)(n+1)*(n+2)/2)) + 1;
y = ((y - 1 + t * ans)%((ll)(n+1)*(n+2)/2)) + 1;
ll xa = ustal(x);
ll ya = ustal(y);
//cout << xa << " " << ya << "\n";
if(xa == ya) {
cout << min(x, y) << "\n";
ans = min(x, y);
continue;
}
int l = lca(sc[xa], sc[ya]);
if(l < 0) {
cout << min(x, y) << "\n";
ans = min(x, y);
continue;
}
cout << inv[l] << "\n";
ans = inv[l];
}
}
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