Submission #889977

#	Time	Username	Problem	Language	Result	Execution time	Memory
889977		vjudge1	Hedgehog Daniyar and Algorithms (IZhO19_sortbooks)	C++17	13 / 100	974 ms	241608 KiB

sortbooks

//#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
//#pragma GCC target( "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

#define ordered_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
#define len(x) (int)x.size()
#define ull unsigned long long
#define F first
#define S second
#define pb push_back
#define pf push_front
#define popb pop_back
#define popf pop_front
#define int long long
#define ld long double
#define pii pair<int,int>
#define mii map<int,int>

using namespace std;
using namespace __gnu_pbds;
using ll = long long;

const int N = 1e6 + 5;
const int MOD = 1e9 + 7;
const ll INF = 1e18;
const ll inf = 1e9;
int n,q,a[N],c[N],lg[N],sp[25][N];
pii t[N*4];

void build(int v = 1,int tl = 1,int tr = n){
	if (tl==tr){
		t[v] = {a[tl], tl};
		return;
	}
	int tm = (tl + tr) / 2;
	build(v + v,tl,tm);
	build(v + v + 1,tm + 1,tr);
	if (t[v + v] >= t[v + v + 1]) t[v] = t[v + v];
	else t[v] = t[v + v + 1];
}

pii com(pii l, pii r){
	if (l.F >= r.F) return l;
	else return r;
}

pii get(int l,int r,int v = 1,int tl = 1,int tr = n){
	if (tl > r || tr < l){
		return {0,0};
	}
	if (tl>=l && tr<=r){
		return t[v];
	}
	int tm = (tl + tr) / 2;
	return com(get(l,r,v + v,tl,tm), get(l,r,v + v + 1,tm + 1,tr));
}

signed main(){
	// freopen("txt.in", "r", stdin);
	// freopen("txt.out", "w", stdout);
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> q;
	lg[2] = 1;
	for (int i=1;i<=n;i++){
		if (!lg[i]) lg[i] = lg[i-1];
		if (i*2<=n) lg[i*2] = lg[i] + 1;
	}
	int mn = 1e18;
	for (int i=1;i<=n;i++){
		cin >> a[i];
		mn = min(mn, a[i]);
	}
	for (int i=1;i<n;i++){
		if (a[i]<=a[i+1]) {
			c[i] = 1;
		}
		sp[0][i] = c[i];
	}
	for (int i=1;i<=22;i++){
		for (int j=1;j<=n;j++){
			sp[i][j] = min(sp[i-1][j], sp[i-1][j+(1<<(i-1))]);
		} 
	}
	build();
	while(q--){
		int ll,rr,k;
		cin >> ll >> rr >> k;
		if (ll==rr){
			cout << 1 << '\n';
			continue;
		}
		int l = ll;
		int r = rr-1;
		while(l<=r){
			int md = (l + r) / 2;
			int x = lg[(rr-1)-md+1];
			int cur = min(sp[x][md], sp[x][(rr-1)-(1<<x)+1]);
			if (cur==1){
				r = md - 1;
			}
			else{
				l = md + 1;
			}
		}
		if (ll==l){
			cout << 1 << '\n';
			continue;
		}
		if (k < mn){
			cout << 0 << '\n';
			continue;
		}
		pii res = get(ll, l-1);
		r = rr;
		while(l<=r){
			int md = (l + r) / 2;
			if (res.F <= a[md]){
				r = md - 1;
			}
			else{
				l = md + 1;
			}
		}
		pii act = get(res.S+1, r);
		if (res.F + act.F <= k){
			cout << 1 << '\n';
		}
		else{
			cout << 0 << '\n';
		}
	}
}

//order_of_key(k): Number of items strictly smaller than k .
//find_by_order(k): K-th element in a set (counting from zero).

//sum of squares n*(n+1)*(2n+1)/6
//sum of cubes [n*(n+1)/2]^2
//sum of squares for odds n*(4*n*n-1)/3
//sum of cubes for odds n*n*(2*n*n-1)

//a/b%mod = a*(b^(m-2)%mod)
//(a>>x)&1 == 0
//a^b = (a+b)-2(a&b)

//srand(time(0))-always changing

• Subtask 1: 0 / 8
• Subtask 2: 0 / 9
• Subtask 3: 13 / 13
• Subtask 4: 0 / 17
• Subtask 5: 0 / 30
• Subtask 6: 0 / 23