// ~~ icebear ~~
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
template<class T>
bool minimize(T &a, const T &b) {
if (a > b) return a = b, true;
return false;
}
template<class T>
bool maximize(T &a, const T &b) {
if (a < b) return a = b, true;
return false;
}
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORR(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i, n) for(int i=0; i<(n); ++i)
#define RED(i, n) for(int i=(n)-1; i>=0; --i)
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define task "icebear"
const int MOD = 1e9 + 7;
const int inf = 1e9 + 27092008;
const ll INF = 1e18 + 27092008;
const int N = 1e5 + 5;
const int S = 200;
int n, q, a[N], cnt[N], ft[N];
ll pref[N / S + 5][N];
void update(int x, int val) {
assert(x > 0);
for(; x <= n; x += x & -x) ft[x] += val;
}
int get(int x) {
int ans = 0;
for(; x; x -= x & -x) ans += ft[x];
return ans;
}
void init(void) {
cin >> n >> q;
REP(i, n) cin >> a[i];
}
void process(void) {
for(int B = 0; B < n; B += S) {
FOR(i, B, min(n, B + S) - 1)
cnt[a[i]]++;
FOR(i, 1, n) cnt[i] += cnt[i - 1];
FOR(i, 0, B - 1) pref[B / S][i] = cnt[a[i] - 1];
FOR(i, B + S, n - 1) pref[B / S][i] = cnt[n] - cnt[a[i]];
FOR(i, B, min(n, B + S) - 1) {
FOR(j, B, i - 1) {
if (a[j] > a[i]) pref[B / S][i]++;
}
}
FOR(i, 1, n - 1) pref[B / S][i] += pref[B / S][i - 1];
FOR(i, B, min(n, B + S) - 1) cnt[a[i]] = 0;
}
int l, r;
ll last_ans = 0;
while(q--) {
cin >> l >> r;
l = (l + last_ans) % n;
r = (r + last_ans) % n;
if (l > r) swap(l, r);
ll ans = 0;
int blockL = (l + S - 1) / S;
int blockR = r / S;
if (blockL >= blockR) {
FORR(i, r, l) {
ans += get(a[i] - 1);
update(a[i], +1);
}
cout << (last_ans = ans) << '\n';
FORR(i, r, l) update(a[i], -1);
continue;
}
FOR(i, blockL, blockR - 1) ans += pref[i][r] - (l == 0 ? 0 : pref[i][l - 1]);
FORR(i, r, blockR * S) {
update(a[i], +1);
ans += get(a[i] - 1);
}
FORR(i, blockL * S - 1, l) {
update(a[i], +1);
ans += get(a[i] - 1);
}
cout << (last_ans = ans) << '\n';
FOR(i, l, blockL * S - 1) update(a[i], -1);
FOR(i, blockR * S, r) update(a[i], -1);
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int tc = 1;
// cin >> tc;
while(tc--) {
init();
process();
}
return 0;
}
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