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/******************************************
*    AUTHOR:         BHUVNESH JAIN        *
*    INSTITUITION:   BITS PILANI, PILANI  *
******************************************/
#include <bits/stdc++.h>
using namespace std;
 
typedef long long LL; 
typedef long double LD;
typedef pair<int,int> pii;
typedef pair<LL, LL> pll;
 
#define fi 				first
#define sec 			second
#define inchar			getchar_unlocked
#define outchar(x)		putchar_unlocked(x)
 
template<typename T> void inpos(T &x) {
	x = 0; T c = inchar();
	while(((c < 48) || (c > 57)) && (c != '-')) c = inchar();
	bool neg = false; if (c=='-') neg = true;
	for(; c < 48 || c > 57; c = inchar()) ;
	for(; c > 47 && c < 58; c = inchar()) x = (x<<3) + (x<<1) + (c&15);
	if(neg) x = -x;
}
 
template<typename T> void outpos(T n) {
	if(n < 0) { outchar('-'); n *= -1; }
	char snum[65]; int i = 0; 
	do { snum[i++] = n % 10 + '0'; n /= 10; } while(n);
	i = i - 1;
	while (i >= 0) outchar(snum[i--]); outchar('\n');
}
 
const int MAX = 1e5 + 5;
const int MOD = 1e9 + 7;
 
int inp[MAX];
LL sum[MAX];
LL sumsq[MAX];
LL sumcu[MAX];
 
bool permutation(int a, int b, int c, int d) {
	LL u = sum[b] - sum[a-1];
	LL v = sum[d] - sum[c-1];
	if (u != v) {
		return false;
	}
	u = sumsq[b] - sumsq[a-1];
	v = sumsq[d] - sumsq[c-1];
	if (u != v) {
		return false;
	}
	u = sumcu[b] - sumcu[a-1];
	v = sumcu[d] - sumcu[c-1];
	if (u != v) {
		return false;
	}
	return true;
}
 
int main() {
	int CUR = 0;
	int t, n, q;
	int a, b, c, d;
	t = 1;
	while(t--) {
		int subn = 49000;
		n = 2*subn;
		q = subn;
 
		//cout << n << " " << q << "\n";
 
		for(int i = 1; i <= subn; ++i) {
			inp[i] = i;
			inp[subn+i] = i;
 
			if (i == subn)
			{
				inp[i] = subn+1;
				inp[subn+i] = subn+2;
			}
		}
 
		for(int i = 1; i <= n; ++i) {
			sum[i] = sum[i-1] + inp[i];
			sumsq[i] = sumsq[i-1] + 1ll*inp[i]*inp[i];
			sumcu[i] = sumcu[i-1] + 1ll*inp[i]*inp[i]*inp[i];
		}
 
		int cnt = 0;
 
		while(q--) {
			a = subn-cnt;
			b = subn;
			c = n-cnt;
			d = n;
 
			cnt++;
 
			//cout << a << " " << b << " " << c << " " << d << endl;
 
			if (a >= c) {
				swap(a, c);
				swap(b, d);
			}
			if (permutation(a, b, c, d)) {
				// exactly same subarrays i.e are permutation
				puts("YES");
				continue;
			}
			LL S1 = sum[b] - sum[a-1];
			LL S2 = sum[d] - sum[c-1];
			LL diff = S2 - S1;
			LL SQ1 = sumsq[b] - sumsq[a-1];
			LL SQ2 = sumsq[d] - sumsq[c-1];
			LL diff2 = SQ2 - SQ1;
			if (diff == 0 || (diff != 0 && diff2 % diff != 0)) {
				puts("NO");
				continue;
			}
			LL sum = diff2 / diff;
			LL num1 = (sum + diff) / 2;
			LL num2 = sum - num1;
			LL CU1 = sumcu[b] - sumcu[a-1];
			LL CU2 = sumcu[d] - sumcu[c-1];
			LL diff3 = CU1 - CU2;
			if (diff3 != (num2*num2*num2 - num1*num1*num1)) {
				puts("NO");
				continue;
			}
			vector<int> one, two;
			for(int i = a; i <= b; ++i) {
				one.push_back(inp[i]);
			}
			sort(one.begin(), one.end());
			for(int i = c; i <= d; ++i) {
				two.push_back(inp[i]);
			}
			sort(two.begin(), two.end());
			diff = 0;
			for(int i = 0; i < one.size(); ++i) {
				if (one[i] != two[i]) {
					diff += 1;
				}
				if (diff > 1) {
					break;
				}
			}
			if (diff <= 1) {
				puts("YES");
			}
			else {
				puts("NO");
			}
		}
	}
	return 0;
}

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