#include "paint.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<ll, ll>
#define fi first
#define sec second
const int MAXN = 1e5;
const ll INF = 2e18;
ll L[MAXN + 5], R[MAXN + 5], dp[MAXN + 5];
vector<ll> components[MAXN + 5];
int minimumInstructions(int N, int M, int K, vector<int> C, vector<int> A, vector<vector<int>> B) {
for(int i = 0; i < M; i++){
for(auto x : B[i]){
components[x].push_back(i);
}
}
for(int i = 1; i <= N; i++) dp[i] = INF;
dp[0] = 0;
deque<pii> dq;
dq.push_back({0, 0});
for(int i = 1; i <= N; i++){
for(auto j : components[C[i - 1]]){
ll idx = (j - i + M) % M;
if(R[idx] == i) continue;
if(L[idx] != 0 && R[idx] == i - 1){
R[idx]++;
}
else{
L[idx] = R[idx] = i;
}
if(R[idx] - L[idx] + 1 >= M && !dq.empty()){
dp[i] = min(dp[i], dq.front().fi + 1);
}
}
while(!dq.empty() && dq.back().fi >= dp[i]){
dq.pop_back();
}
while(!dq.empty() && dq.front().sec <= i - M){
dq.pop_front();
}
if(dp[i] != INF){
dq.push_back({dp[i], i});
}
}
return (dp[N] == INF ? -1 : dp[N]);
}
/*
*/
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