結果

問題 No.1269 I hate Fibonacci Number
ユーザー heno239
提出日時 2020-10-23 23:53:28
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
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
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ファイルパターン 結果
sample AC * 3
other AC * 36
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 #
プレゼンテーションモードにする

#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;
}
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