Submission #1322764

#TimeUsernameProblemLanguageResultExecution timeMemory
1322764Jawad_Akbar_JJXOR Sum (info1cup17_xorsum)C++20
100 / 100
657 ms31792 KiB
#include <iostream>
#include <algorithm>

using namespace std;
const int N = 1<<20;
int ord[N], ord2[N], a[N], b[N], cnt[N], c[N], l1[N], l2[N], r1[N];

void solve(int n, int k){
	int z = 0;
	for (int i=1;i<=n;i++){
		if ((1<<k) & a[i])
			b[i] += (1<<k);
		else
			z++;
		swap(ord[i], ord2[i]);
	}


	for (int i=1, O = 0, Z = 0;i<=n;i++){
		if (b[ord2[i]] & (1<<k))
			O++, ord[z + O] = ord2[i];
		else
			Z++, ord[Z] = ord2[i];
	}
	for (int i=1;i<=n;i++)
		c[i] = b[ord[i]];

	for (int i=1, r = n + 1;i<=n;i++){
		while (r - 1 >= i and c[i] + c[r - 1] >= (1<<k))
			r--;
		l1[i] = max(i, r);
	}
	for (int i=1, r = n + 1;i<=n;i++){
		while (r - 1 >= i and c[i] + c[r - 1] >= (2<<k))
			r--;
		r1[i] = max(i, r);
	}
	for (int i=1, r = n + 1;i<=n;i++){
		while (r - 1 >= i and c[i] + c[r - 1] >= (1<<k) + (2<<k))
			r--;
		l2[i] = max(i, r);
	}

	for (int i=1;i<=n;i++){
		cnt[k] ^= (n + 1 - l2[i]) & 1;
		cnt[k] ^= (r1[i] - l1[i]) & 1;
	}
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	int n, Ans = 0, ln = 0;
	cin>>n;

	for (int i=1;i<=n;i++)
		cin>>a[i], ord[i] = i, ln = max(ln, 31 - __builtin_clz(a[i]));

	// cout<<ln<<'\n';
	for (int i=0;i<=ln+1;i++)
		solve(n, i);

	for (int i=0;i<=ln+1;i++)
		Ans |= cnt[i]<<i;
	cout<<Ans<<'\n';
}
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