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SQRT.cpp
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SQRT.cpp
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// Mo's Algorithm for answering offline queries
// Time complexity: O(n*sqrt(n))
// Problem link: https://cses.fi/problemset/task/1734
#include <bits/stdc++.h>
using namespace std;
#define ar array
#define ll long long
const int MAX_N = 2e5 + 1;
const int MOD = 1e9 + 7;
const int INF = 1e9;
const ll LINF = 1e18;
struct query{
int SQRT = 500;
int l, r, id;
bool operator< (query b) {
query a = *this;
return ar<int,2>{a.l/SQRT, a.r} < ar<int,2>{b.l/SQRT, b.r};
}
};
int n, q, arr[MAX_N], ans[MAX_N], cnt[MAX_N], cur;
query qs[MAX_N];
void add(int idx) {
if (cnt[arr[idx]] == 0) cur++;
cnt[arr[idx]]++;
}
void subtract(int idx) {
if (cnt[arr[idx]] == 1) cur--;
cnt[arr[idx]]--;
}
// compress used values from 1e9 to 2e5
void compress() {
map<int, int> mp;
for (int i = 1; i <= n; i++)
mp[arr[i]] = i;
for (int i = 1; i <= n; i++)
arr[i] = mp[arr[i]];
}
void mo_algo() {
sort(qs + 1, qs + n + 1);
int curL = 0, curR = 0;
add(0);
for (int i = 1; i <= n; i++) {
int L = qs[i].l, R = qs[i].r;
while (curL < L) subtract(curL++);
while (curL > L) add(--curL);
while (curR < R) add(++curR);
while (curR > R) subtract(curR--);
ans[qs[i].id] = cur;
}
}
void solve() {
cin >> n >> q;
for (int i = 1; i <= n; i++) cin >> arr[i];
compress();
for (int i = 1; i <= q; i++) {
cin >> qs[i].l >> qs[i].r;
qs[i].id = i;
}
mo_algo();
for (int i = 1; i <= q; i++)
cout << ans[i] << "\n";
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
int tc; tc = 1;
for (int t = 1; t <= tc; t++) {
// cout << "Case #" << t << ": ";
solve();
}
}