Submission #7020148


Source Code Expand

#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<string>
#include<cstring>
#include<algorithm>
#include<sstream>
#include<complex>
#include<functional>
#include<vector>
#include<map>
#include<queue>
#include<deque>
#include<stack>
#include<set>

using namespace std;
#define endl '\n'

using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vl = vector<ll>;

template<typename T = long long>
T gcd(T a, T b) { return b ? gcd(b, a%b) : a; }

// value
int p;
int a[3000];

/* べき乗を計算 */
ll mpow(ll v, long long k) {
	ll res = 1, tmp = v;
	while (k) {
		if (k & 1) res *= tmp;
		tmp *= tmp;
		res %= p;
		tmp %= p;
		k >>= 1;
	}
	return res;
}

ll inv(ll v) { return mpow(v, p - 2); }

ll b[3000];
ll fact[3000], fact_inv[3000];

void calc() {
	fact[0] = 1;
	fact_inv[0] = 1;
	for (int i = 1; i < 3000; i++) {
		fact[i] = fact[i - 1] * i;
		fact[i] %= p;
		fact_inv[i] = inv(fact[i]);
	}
}

ll comb(ll n, ll r) {
	return (fact[n] * fact_inv[r] % p) * fact_inv[n - r] % p;
}

void solve() {

	cin >> p;
	for (int i = 0; i < p; i++) {
		cin >> a[i];
	}

	calc();

	for (int j = 0; j < p; j++) {
		if (a[j] == 1) {
			ll j2 = 1;
			for (int k = 0; k < p; k++) {
				b[p - 1 - k] += (-1) * comb(p - 1, k) * j2 % p;
				b[p - 1 - k] += p; b[p - 1 - k] %= p;
				j2 *= -j; j2 += p; j2 %= p;
			}
			b[0] += 1;
		}
	}

	for (int i = 0; i < p - 1; i++) {
		cout << b[i] % p << " ";
	}

	cout << b[p - 1] % p << endl;

	return;

}

int main() {

	cin.tie(0);
	ios::sync_with_stdio(false);

	solve();

	return 0;

}

Submission Info

Submission Time
Task F - Polynomial Construction
User mattyan1053
Language C++14 (GCC 5.4.1)
Score 600
Code Size 1741 Byte
Status AC
Exec Time 550 ms
Memory 384 KiB

Judge Result

Set Name Sample All
Score / Max Score 0 / 0 600 / 600
Status
AC × 3
AC × 43
Set Name Test Cases
Sample a01, a02, a03
All a01, a02, a03, b04, b05, b06, b07, b08, b09, b10, b11, b12, b13, b14, b15, b16, b17, b18, b19, b20, b21, b22, b23, b24, b25, b26, b27, b28, b29, b30, b31, b32, b33, b34, b35, b36, b37, b38, b39, b40, b41, b42, b43
Case Name Status Exec Time Memory
a01 AC 1 ms 256 KiB
a02 AC 1 ms 256 KiB
a03 AC 1 ms 256 KiB
b04 AC 1 ms 256 KiB
b05 AC 1 ms 256 KiB
b06 AC 1 ms 256 KiB
b07 AC 2 ms 384 KiB
b08 AC 550 ms 384 KiB
b09 AC 549 ms 384 KiB
b10 AC 549 ms 384 KiB
b11 AC 3 ms 384 KiB
b12 AC 3 ms 384 KiB
b13 AC 276 ms 384 KiB
b14 AC 276 ms 384 KiB
b15 AC 81 ms 384 KiB
b16 AC 471 ms 384 KiB
b17 AC 276 ms 384 KiB
b18 AC 276 ms 384 KiB
b19 AC 270 ms 384 KiB
b20 AC 380 ms 384 KiB
b21 AC 494 ms 384 KiB
b22 AC 520 ms 384 KiB
b23 AC 545 ms 384 KiB
b24 AC 547 ms 384 KiB
b25 AC 549 ms 384 KiB
b26 AC 285 ms 384 KiB
b27 AC 170 ms 384 KiB
b28 AC 59 ms 384 KiB
b29 AC 33 ms 384 KiB
b30 AC 7 ms 384 KiB
b31 AC 6 ms 384 KiB
b32 AC 3 ms 384 KiB
b33 AC 1 ms 256 KiB
b34 AC 1 ms 256 KiB
b35 AC 229 ms 384 KiB
b36 AC 404 ms 384 KiB
b37 AC 130 ms 384 KiB
b38 AC 24 ms 384 KiB
b39 AC 2 ms 256 KiB
b40 AC 81 ms 384 KiB
b41 AC 4 ms 256 KiB
b42 AC 24 ms 384 KiB
b43 AC 22 ms 384 KiB