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sparse_table.cpp
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168 lines (132 loc) · 3.35 KB
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#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp> //required
#include <ext/pb_ds/tree_policy.hpp> //required
// template starts
using namespace __gnu_pbds; //required
using namespace std;
template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// ordered_set <int> s;
// s.find_by_order(k); returns the (k+1)th smallest element
// s.order_of_key(k); returns the number of elements in s strictly less than k
#define MOD (1000000000+7) // change as required
#define pb(x) push_back(x)
#define mp(x,y) make_pair(x,y)
#define all(x) x.begin(), x.end()
#define print(vec,l,r) for(int i = l; i <= r; i++) cout << vec[i] <<" "; cout << endl;
#define input(vec,N) for(int i = 0; i < (N); i++) cin >> vec[i];
#define debug(x) cerr << #x << " = " << (x) << endl;
#define leftmost_bit(x) (63-__builtin_clzll(x))
#define rightmost_bit(x) __builtin_ctzll(x)
#define set_bits(x) __builtin_popcountll(x)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long int ll;
// start of highly risky #defines
#define int ll // disable when you want to make code a bit faster
#define endl '\n' // disable when dealing with interactive problems
// End of highly risky #defines
// template ends here
const int MAXN = 200005;
const int LOG2 = 30;
vector<int> vec;
vector<pair<int,int>> p2;
int table[MAXN][LOG2];
int N;
void preprocess(){
for(int i = 0; i < N; i++){
table[i][0] = vec[i];
}
int index = 1;
int t = 2;
while(t <= N){
for(int i = 0; i < N-t+1; i++){
table[i][index] = min(table[i][index-1],table[i+t/2][index-1]);
}
index++;
t *= 2;
}
p2.resize(N+1);
t = 1;
index = 0;
for(int i = 1; i <= N; i++){
if(i == 2*t){
index++;
t *= 2;
}
p2[i] = mp(index,t);
}
}
int query(int l, int r){
//return 0;
int d = r-l+1;
int index = p2[d].first;
return min(table[l][index],table[r-p2[d].second+1][index]);
}
void solve(){
cin >> N;
vec.resize(N);
input(vec,N);
preprocess();
vector<int> smx(N),pmx(N);
smx.back() = vec.back();
pmx[0] = vec[0];
for(int i = 1; i < N; i++){
pmx[i] = max(pmx[i-1],vec[i]);
}
for(int i = N-2; i >= 0; i--){
smx[i] = max(smx[i+1],vec[i]);
}
for(int b = 2; b < N; b++){
int t = smx[b];
int l = lower_bound(pmx.begin(),pmx.begin()+b-2,t)-pmx.begin();
int r = upper_bound(pmx.begin(),pmx.begin()+b-1,t)-pmx.begin();
if(l == b-1 || pmx[l] != t) continue;
//debug(b);
//debug(l);
//debug(r);
//debug(t);
//debug(pmx[l]);
//debug(pmx[r]);
//cerr << endl;
int low = l+1, high = r;
int mid;
while(low <= high){
mid = (low+high)/2;
int q = query(mid,b-1);
//debug(mid);
//debug(b-1);
//debug(q);
if(q == t){
cout << "YES" << endl;
cout << mid << " " << b-mid<< " " << N-b << endl;
return;
}
if(q > t){
high = mid-1;
}
else{
low = mid+1;
}
}
//cerr << endl;
}
cout << "NO" << endl;
}
clock_t startTime;
double getCurrentTime() {
return (double)(clock() - startTime) / CLOCKS_PER_SEC;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
//startTime = clock();
int T;
cin >> T;
//T = 1;
while(T--){
solve();
}
//cout << getCurrentTime() << endl;
return 0;
}