結果

問題 No.1269 I hate Fibonacci Number
ユーザー heno239heno239
提出日時 2020-10-23 23:53:28
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 826 ms / 3,000 ms
コード長 4,805 bytes
コンパイル時間 1,551 ms
コンパイル使用メモリ 124,644 KB
実行使用メモリ 15,616 KB
最終ジャッジ日時 2024-07-21 13:54:47
合計ジャッジ時間 7,345 ms
ジャッジサーバーID
(参考情報)
judge2 / judge4
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 6 ms
15,436 KB
testcase_01 AC 6 ms
15,436 KB
testcase_02 AC 29 ms
15,488 KB
testcase_03 AC 6 ms
15,360 KB
testcase_04 AC 6 ms
15,436 KB
testcase_05 AC 6 ms
15,440 KB
testcase_06 AC 6 ms
15,488 KB
testcase_07 AC 7 ms
15,488 KB
testcase_08 AC 6 ms
15,440 KB
testcase_09 AC 6 ms
15,432 KB
testcase_10 AC 6 ms
15,488 KB
testcase_11 AC 6 ms
15,564 KB
testcase_12 AC 7 ms
15,488 KB
testcase_13 AC 69 ms
15,564 KB
testcase_14 AC 826 ms
15,564 KB
testcase_15 AC 29 ms
15,616 KB
testcase_16 AC 506 ms
15,440 KB
testcase_17 AC 6 ms
15,488 KB
testcase_18 AC 745 ms
15,568 KB
testcase_19 AC 268 ms
15,436 KB
testcase_20 AC 16 ms
15,436 KB
testcase_21 AC 522 ms
15,560 KB
testcase_22 AC 121 ms
15,440 KB
testcase_23 AC 303 ms
15,568 KB
testcase_24 AC 191 ms
15,564 KB
testcase_25 AC 43 ms
15,564 KB
testcase_26 AC 7 ms
15,488 KB
testcase_27 AC 21 ms
15,360 KB
testcase_28 AC 8 ms
15,616 KB
testcase_29 AC 115 ms
15,488 KB
testcase_30 AC 61 ms
15,616 KB
testcase_31 AC 215 ms
15,488 KB
testcase_32 AC 235 ms
15,616 KB
testcase_33 AC 113 ms
15,564 KB
testcase_34 AC 114 ms
15,364 KB
testcase_35 AC 114 ms
15,560 KB
testcase_36 AC 7 ms
15,560 KB
testcase_37 AC 6 ms
15,436 KB
testcase_38 AC 6 ms
15,488 KB
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 = mod) {
	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];
}

struct uf {
private:
	vector<int> par, ran,cnt;
public:
	uf(int n) {
		par.resize(n, 0);
		ran.resize(n, 0);
		cnt.resize(n, 1);
		rep(i, n) {
			par[i] = i;
		}
	}
	int find(int x) {
		if (par[x] == x)return x;
		else return par[x] = find(par[x]);
	}
	void unite(int x, int y) {
		x = find(x), y = find(y);
		if (x == y)return;
		if (ran[x] < ran[y]) {
			par[x] = y; cnt[y] += cnt[x];
		}
		else {
			par[y] = x; cnt[x] += cnt[y];
			if (ran[x] == ran[y])ran[x]++;
		}
	}
	bool same(int x, int y) {
		return find(x) == find(y);
	}
	int takecnt(int x) {
		return cnt[find(x)];
	}
};
modint cdp[5001][100][2];
modint sums[5001][2];
modint dp[5001][2];
void solve() {
	int n; ll l, r; cin >> n >> l >> r;
	vector<ll> v;
	v.push_back(1); v.push_back(1);
	while (v.back() <= r) {
		v.push_back(v[v.size() - 2] + v[v.size() - 1]);
	}
	vector<string> f;
	for (int i = 1; i < v.size(); i++) {
		if (l <= v[i] && v[i] <= r)f.push_back(to_string(v[i]));
	}
	vector<string> nf;
	for(string s:f) {
		bool valid = true;
		for (string t : nf) {
			rep(k, s.size() - t.size() + 1) {
				string u = s.substr(k, t.size());
				if (u == t)valid = false;
			}
		}
		if (valid)nf.push_back(s);
	}
	rep(i, nf.size()) {
		cdp[nf[i].size()][i][1] = 1;
	}
	rep(i, n)rep(j, nf.size())rep(k, 2) {
		if (cdp[i][j][k] == (modint)0)continue;
		string las = nf[j];
		rep(t, nf.size()) {
			for (int loc = 1; loc < las.size(); loc++) {
				bool valid = true;
				string sloc = las.substr(loc, las.size() - loc);
				if (sloc.size() >= nf[t].size())continue;
				rep(x, sloc.size())if (sloc[x] != nf[t][x])valid = false;
				if (valid) {
					int ni = i + nf[t].size() - sloc.size();
					if (ni <= n) {
						cdp[ni][t][k ^ 1] += cdp[i][j][k];
					}
				}
			}
		}
	}
	rep(i, n + 1)rep(j, nf.size())rep(k, 2)sums[i][k] += cdp[i][j][k];

	dp[0][0] = 1;
	rep(i, n)rep(j, 2) {
		dp[i + 1][j] += dp[i][j] * (modint)10;
		for (int x = 1; i + x <= n; x++) {
			rep(k, 2) {
				dp[i + x][j ^ k] += dp[i][j] * sums[x][k];
			}
		}
	}
	modint ans = dp[n][0] - dp[n][1]; ans -= 1;
	cout << ans << "\n";
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//init_f();
	//init();
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
0