結果

問題 No.303 割れません
ユーザー heno239
提出日時 2020-08-23 13:58:41
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 8,820 bytes
コンパイル時間 2,486 ms
コンパイル使用メモリ 140,700 KB
実行使用メモリ 160,148 KB
最終ジャッジ日時 2024-10-15 18:12:11
合計ジャッジ時間 22,495 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 1 TLE * 1 -- * 12
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acosl(-1.0);

ll mod_pow(ll x, ll n, ll m) {
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n % mod + mod) % mod;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 18;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}

LDP operator*(const LDP& a, const LDP& b) {
	return LDP{ a.first * b.first - a.second * b.second , a.first * b.second + a.second * b.first };
}
LDP operator+(const LDP& a, const LDP& b) {
	return LDP{ a.first + b.first,a.second + b.second };
}
LDP operator-(const LDP& a, const LDP& b) {
	return LDP{ a.first - b.first,a.second - b.second };
}
//非再帰
//eps=0.01を忘れずに
typedef vector<LDP> poly;
poly dft(poly f, bool inverse = false) {
	int n = f.size(); int i, j, k;
	//bit左右反転
	for (i = 0, j = 1; j < n - 1; j++) {
		for (k = n >> 1; k > (i ^= k); k >>= 1);
		if (i > j)swap(f[i], f[j]);
	}
	for (int m = 2; m <= n; m *= 2) {
		LDP zeta = { cos(2 * pi / (ld)m), sin(2 * pi / (ld)m) };
		if (inverse) {
			zeta = { cos(2 * pi * (m - 1) / (ld)m), sin(2 * pi * (m - 1) / (ld)m) };
		}
		for (i = 0; i < n; i += m) {
			LDP powzeta = { 1,0 };
			for (k = i; k < i + m / 2; k++) {
				LDP t1 = f[k], t2 = powzeta * f[k + m / 2];
				f[k] = t1 + t2; f[k + m / 2] = t1 - t2;
				powzeta = powzeta * zeta;
			}
		}
	}
	if (inverse) {
		for (i = 0; i < n; i++) {
			f[i].first /= (ld)n;
			f[i].second /= (ld)n;
		}
	}
	return f;
}
poly multiply(poly g, poly h) {
	int n = 1; int sz = g.size() + h.size();
	while (n <= sz)n *= 2;
	while (g.size() < n) {
		g.push_back({ 0,0 });
	}
	while (h.size() < n) {
		h.push_back({ 0,0 });
	}
	poly gg = dft(g);
	poly hh = dft(h);
	poly ff;
	rep(i, n) {
		ff.push_back(gg[i] * hh[i]);
	}
	return dft(ff, true);
}
struct bigint {
	string s;
	bigint() {};
	bigint(ll n) { s = to_string(n); };
	bigint(string t) { s = t; };
};
bool operator==(const bigint& a, const bigint& b) { return a.s == b.s; };
bool operator==(const bigint& a, const int& b) { return a.s == to_string(b); };
bool operator!=(const bigint& a, const bigint& b) { return !(a == b); };
bool operator!=(const bigint& a, const int& b) { return a != to_string(b); };
bool operator<(const bigint& a, const bigint& b) {
	if (a.s.length() != b.s.length())return a.s.length() < b.s.length();
	return a.s < b.s;
}
bool operator>(const bigint& a, const bigint& b) {
	if (a.s.length() != b.s.length())return a.s.length() > b.s.length();
	return a.s > b.s;
}
bool operator>=(const bigint& a, const bigint& b) {
	return !(a < b);
}
bool operator<=(const bigint& a, const bigint& b) {
	return !(a > b);
}
bigint operator+(const bigint& a, const bigint& b) {
	bigint ret;
	int c = 0;
	int loc = 0;
	while (true) {
		if (loc >= a.s.size() && loc >= b.s.size() && c == 0)break;
		if (loc < a.s.size()) {
			c += a.s[a.s.size() - 1-loc]-'0';
		}
		if (loc < b.s.size()) {
			c += b.s[b.s.size() - 1 - loc] - '0';
		}
		ret.s.push_back('0' + c % 10); c /= 10; loc++;
	}
	reverse(all(ret.s));
	return ret.s;

}
bigint operator+(const bigint& a, const int b) {
	return a + bigint(b);
}
bigint operator-(const bigint& a, const bigint& b) {
	int len = max(a.s.length(), b.s.length());
	bigint ret; bool f = false;
	rep(i, len) {
		int c = 0;
		if (f)c = -1, f = false;
		int j = a.s.length() - 1 - i;
		if (j >= 0)c += a.s[j] - '0';
		j = b.s.length() - 1 - i;
		if (j >= 0)c -= b.s[j] - '0';
		if (c < 0)f = true, c += 10;
		ret.s.push_back('0' + c);
	}
	while (ret.s.size() > 1 && ret.s.back() == '0')ret.s.pop_back();
	reverse(ret.s.begin(), ret.s.end());
	return ret;
}
bigint operator/(const bigint& a, const bigint& b) {
	bigint ret(0);
	bigint ans;
	int len = a.s.length();
	rep(i, len) {
		ret = ret + (a.s[i] - '0');
		int cnt = 0;
		while (ret >= b)++cnt, ret = ret - b;
		ans.s.push_back('0' + cnt);
		if (ret != 0)ret.s.push_back('0');
	}
	rep(i, ans.s.length()) {
		if (ans.s[i] != '0') {
			ans.s.erase(ans.s.begin(), ans.s.begin() + i);
			break;
		}
		if (i == (int)ans.s.length() - 1) {
			ans = 0;
		}
	}
	return ans;
}
bigint operator%(const bigint& a, const bigint& b) {
	bigint ret(0);
	int len = a.s.length();
	rep(i, len) {
		ret = ret + (a.s[i] - '0');
		while (ret >= b)ret = ret - b;
		if (ret != 0 && i < len - 1)ret.s.push_back('0');
	}

	rep(i, ret.s.size()) {
		if (ret.s[i] != '0' || i == ret.s.size() - 1) {
			ret.s.erase(ret.s.begin(), ret.s.begin() + i);
			break;
		}
	}
	return ret;
}
bigint multi(const bigint& a, const int& t) {
	bigint ret;
	int c = 0;
	per(i, a.s.length()) {
		c += (a.s[i] - '0') * t;
		ret.s.push_back('0' + (c % 10));
		c /= 10;
	}
	while (c > 0) {
		ret.s.push_back('0' + (c % 10));
		c /= 10;
	}
	while (ret != 0 && ret.s.back() == '0')ret.s.pop_back();
	reverse(ret.s.begin(), ret.s.end());
	return ret;
}
bigint operator*(const bigint& a, const bigint& b) {
	poly p(a.s.size());
	poly q(b.s.size());
	rep(i, a.s.size()) {
		p[i] = { a.s[a.s.size() - 1 - i]-'0',0 };
	}
	rep(i, b.s.size()) {
		q[i] = { b.s[b.s.size() - 1 - i] - '0',0 };
	}
	poly r = multiply(p, q);
	bigint res;
	int c = 0;
	int loc = 0;
	while (true) {
		if (loc >= r.size() && c == 0)break;
		if (loc < r.size())c += (r[loc].first + 0.01);
		loc++;
		res.s.push_back('0' + c % 10);
		c /= 10;
	}
	while (res.s.size() > 1 && res.s.back() == '0')res.s.pop_back();
	reverse(all(res.s));
	return res;
}
bigint min(const bigint& a, const bigint& b) {
	if (a < b)return a;
	else return b;
}

bigint gcd(bigint a, bigint b) {
	if (a < b)swap(a, b);
	while (b > 0) {
		bigint r = a % b; a = b; b = r;
	}
	return a;
}
typedef pair<bigint, bigint> bP;

typedef vector<vector<bigint>> mat;
typedef vector<bigint> vec;
mat mtmul(mat& A, mat& B) {
	mat C(A.size(), vec(B[0].size()));
	rep(i, (int)A.size()) {
		rep(k, (int)B.size()) {
			rep(j, (int)B[0].size()) {
				C[i][j] = (C[i][j] + (A[i][k] * B[k][j]));
			}
		}
	}
	return C;
}
mat mtpow(mat A, ll n) {
	mat B(A.size(), vec(A.size()));
	rep(i, (int)A.size()) {
		B[i][i] = 1;
	}
	while (n > 0) {
		if (n & (ll)1)B = mtmul(B, A);
		A = mtmul(A, A);
		n >>= 1;
	}
	return B;
}


bigint dp[2];
bigint calc(ll n) {
	mat A = { {1,1},{1,0} };
	A = mtpow(A, n);
	return A[0][1];
}
void solve() {
	ll n; cin >> n;
	if (n == 2) {
		cout << "INF\n";
		cout << 0 << "\n";
		return;
	}
	bigint ans = calc(n);
	bigint p = calc(n / 2);
	if (n % 2 == 0)ans = ans - calc(n / 2) * calc(n / 2);
	cout << n << "\n";
	cout << ans.s << "\n";
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(15);
	//init_f();
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
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