Distinct Values Subarrays II
Key Idea: Sliding window capped at k distinct values, growing and shrinking the window while summing valid subarray lengths.
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ll var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
void solve() {
ll n,k;
cin>>n>>k;
vector<ll> a(n);
rep(i,0,n) {cin>>a[i];}
map<ll,ll> mp;
ll uc=0;
ll l = 0, r=0;
mp[a[0]]++; uc=1;
rep(i,1,n-1) {
if (mp[a[i]]==0) {if (uc==k) {r=i-1; break;} else {uc++;}}
r++; mp[a[i]]++;
}
ll z{0};
if (r!=n-1) {z+=(r-l+1);}
// cout<<l<<" "<<r<<endl;
// increase till last k
while(l<=r) {
if (r==n-1) {break;}
mp[a[l]]--;
if (mp[a[l]]==0) {uc--;}
//increase l by one.
l++;
for(int j = r+1;j<n;j++) {
if (mp[a[j]]==0) {if (uc==k) {break;} else {uc++;}}
r++; mp[a[j]]++;
}
//increase r till max k
// cout<<l<<" "<<r<<endl;
if (r==n-1) {break;}
z += (r-l+1);
// cout<<"Z "<<z<<endl;
//else ans += length
//back to start
}
// add last arr term
// cout<<(((r-l+1)*(r-l+2))/2)<<endl;
z += (((r-l+1)*(r-l+2))/2);
cout<<z;
}
int main() {
//add quotes incase input output file
//freopen(input.txt,r,stdin);
//freopen(output.txt,w,stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
// cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}