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Submission #526082

# Submission time Handle Problem Language Result Execution time Memory
526082 2022-02-13T16:45:10 Z eric00513 씽크스몰 (kriii3_TT) C++17
30 / 30
 3238 ms 229364 KB 
#include <bits/stdc++.h>
using namespace std;

#define sz(x) (ll)(x).size()
#define all(x) (x).begin(), (x).end()

using ll = unsigned long long;
using base = complex<long double>;

const long double PI = acos(-1.L);

void fft(vector<base>& a, bool inv) {
	ll n = sz(a);
	for (ll i = 1, j = 0; i < n; i++) {
		ll bit = n >> 1;
		while (j >= bit) j -= bit, bit >>= 1;
		j += bit;
		if (i < j) swap(a[i], a[j]);
	}
	for (ll len = 2; len <= n; len <<= 1) {
		vector<base> w(len / 2);
		for (ll i = 0; i < len / 2; i++) {
			long double ang = 2 * PI * i / len * (inv ? -1 : 1);
			w[i] = base(cos(ang), sin(ang));
		}
		for (ll i = 0; i < n; i += len) {
			for (ll j = 0; j < len / 2; j++) {
				base u = a[i + j], v = a[i + j + len / 2] * w[j];
				a[i + j] = u + v;
				a[i + j + len / 2] = u - v;
			}
		}
	}
	if (inv) for (ll i = 0; i < n; i++) a[i] /= n;
}

vector<ll> multiply(vector<ll>& a, vector<ll>& b) {
	vector<base> fa(all(a)), fb(all(b));
	ll n = sz(fa);
	fft(fa, false); fft(fb, false);
	for (ll i = 0; i < n; i++) fa[i] *= fb[i];
	fft(fa, true);
	vector<ll> ret(n);
	for (ll i = 0; i < n; i++) ret[i] = (ll)(fa[i].real() + (fa[i].real() > 0 ? 0.5 : -0.5));
	return ret;
}

int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(0);

	ll n, m;
	cin >> n >> m;
	n++, m++;
	ll k = 1;
	while (k < 2 * max(n, m) - 1) k <<= 1;
	vector<ll> a(k), b(k);
	for (ll i = 0; i < n; i++) cin >> a[i];
	for (ll i = 0; i < m; i++) cin >> b[i];

	vector<ll> res = multiply(a, b);
	ll ans = 0;
	for (ll i = 0; i < n + m - 1; i++) ans ^= res[i];
	cout << ans << '\n';
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 3 ms 460 KB Output is correct
5 Correct 3 ms 460 KB Output is correct
6 Correct 3 ms 460 KB Output is correct
7 Correct 3 ms 460 KB Output is correct
8 Correct 3 ms 460 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 3488 KB Output is correct
2 Correct 380 ms 25004 KB Output is correct
3 Correct 354 ms 24988 KB Output is correct
4 Correct 357 ms 24996 KB Output is correct
5 Correct 357 ms 25008 KB Output is correct
6 Correct 371 ms 24912 KB Output is correct
7 Correct 367 ms 25024 KB Output is correct
8 Correct 362 ms 24928 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 764 ms 49636 KB Output is correct
2 Correct 1560 ms 102692 KB Output is correct
3 Correct 1530 ms 103316 KB Output is correct
4 Correct 3206 ms 225088 KB Output is correct
5 Correct 3238 ms 223840 KB Output is correct
6 Correct 3205 ms 226252 KB Output is correct
7 Correct 3203 ms 229364 KB Output is correct
8 Correct 3210 ms 227828 KB Output is correct