結果

問題 No.1269 I hate Fibonacci Number
ユーザー cureskol
提出日時 2024-03-31 20:42:42
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 431 ms / 3,000 ms
コード長 10,875 bytes
コンパイル時間 11,775 ms
コンパイル使用メモリ 306,312 KB
最終ジャッジ日時 2025-02-20 18:20:24
ジャッジサーバーID
(参考情報)
judge3 / judge1
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ファイルパターン 結果
sample AC * 3
other AC * 36
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ソースコード

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プレゼンテーションモードにする

#pragma region template
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using vi = vector<int>;
using vll = vector<ll>;
using pi = pair<int, int>;
using pll = pair<ll, ll>;
#define overload2(a, b, c, ...) c
#define overload3(a, b, c, d, ...) d
#define overload4(a, b, c, d, e, ...) e
#define overload5(a, b, c, d, e, f, ...) f
#define TYPE1(T) template <typename T>
#define TYPE2(T, U) template <typename T, typename U>
#define TYPE(...) overload2(__VA_ARGS__, TYPE2, TYPE1)(__VA_ARGS__)
#define TYPES1(T) template <typename... T>
#define TYPES2(H, T) template <typename H, typename... T>
#define TYPES(...) overload2(__VA_ARGS__, TYPES2, TYPES1)(__VA_ARGS__)
#define REP4(i, s, n, d) for (int i = (s); i < (n); i += (d))
#define REP3(i, s, n) REP4(i, s, n, 1)
#define REP2(i, n) REP3(i, 0, n)
#define REP1(n) REP2(tomato, n)
#define REP(...) overload4(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__)
#define RREP4(i, n, s, d) for (int i = (n)-1; i >= (s); i -= (d))
#define RREP3(i, n, s) RREP4(i, n, s, 1)
#define RREP2(i, n) RREP3(i, n, 0)
#define RREP1(n) RREP2(tomato, n)
#define RREP(...) \
overload4(__VA_ARGS__, RREP4, RREP3, RREP2, RREP1)(__VA_ARGS__)
#define FOR4(a, b, c, d, v) for (auto [a, b, c, d] : v)
#define FOR3(a, b, c, v) for (auto [a, b, c] : v)
#define FOR2(a, b, v) for (auto [a, b] : v)
#define FOR1(a, v) for (auto a : v)
#define FOR(...) overload5(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define AFOR4(a, b, c, d, v) for (auto &[a, b, c, d] : v)
#define AFOR3(a, b, c, v) for (auto &[a, b, c] : v)
#define AFOR2(a, b, v) for (auto &[a, b] : v)
#define AFOR1(a, v) for (auto &a : v)
#define AFOR(...) \
overload5(__VA_ARGS__, AFOR4, AFOR3, AFOR2, AFOR1)(__VA_ARGS__)
#define CFOR4(a, b, c, d, v) for (const auto &[a, b, c, d] : v)
#define CFOR3(a, b, c, v) for (const auto &[a, b, c] : v)
#define CFOR2(a, b, v) for (const auto &[a, b] : v)
#define CFOR1(a, v) for (const auto &a : v)
#define CFOR(...) \
overload5(__VA_ARGS__, CFOR4, CFOR3, CFOR2, CFOR1)(__VA_ARGS__)
#define PFOR(v) \
for (bool f = true; (f ? exchange(f, false) : next_permutation(ALL(v)));)
#define ALL(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define REVERSE(v) reverse(ALL(v))
#define UNIQUE(v) SORT(v), v.erase(unique(ALL(v)), v.end())
#define SZ(v) int(v.size())
#define MAX(v) *max_element(ALL(v))
#define MIN(v) *min_element(ALL(v))
template <typename T>
conditional_t<is_same_v<T, int>, ll, T> SUM(const vector<T> &v) {
return accumulate(ALL(v), conditional_t<is_same_v<T, int>, ll, T>(0));
}
TYPES(T) void input(T &...a) { (cin >> ... >> a); }
#define DECLARE(T, ...) \
T __VA_ARGS__; \
input(__VA_ARGS__);
#define INT(...) DECLARE(int, __VA_ARGS__)
#define STR(...) DECLARE(string, __VA_ARGS__)
#define LL(...) DECLARE(long long, __VA_ARGS__)
#define CHR(...) DECLARE(char, __VA_ARGS__)
#define DBL(...) DECLARE(double, __VA_ARGS__)
#define VI(n, v) \
vi v(n); \
cin >> v;
#define VLL(n, v) \
vll v(n); \
cin >> v;
#define VS(n, s) \
vector<string> s(n); \
cin >> s;
TYPE(T) istream &operator>>(istream &is, vector<T> &v) {
for (auto &a : v)
cin >> a;
return is;
}
TYPE(T) ostream &operator<<(ostream &os, const vector<T> &v) {
if (&os == &cerr)
os << "[";
REP (i, v.size()) {
os << v[i];
if (i + 1 < v.size())
os << (&os == &cerr ? "," : " ");
}
if (&os == &cerr)
os << "]";
return os;
}
TYPE(T, S) istream &operator>>(istream &is, pair<T, S> &p) {
cin >> p.first >> p.second;
return is;
}
#ifdef __DEBUG
#include <debug>
#else
#define debug(...) void(0)
#endif
void print() { cout << '\n'; }
TYPES(T, Ts) void print(const T &a, const Ts &...b) {
cout << a;
(cout << ... << (cout << ' ', b));
cout << '\n';
}
TYPE(T) using pq = priority_queue<T>;
TYPE(T) using pqg = priority_queue<T, vector<T>, greater<T>>;
TYPE(T) T pick(queue<T> &que) {
assert(que.size());
T a = que.front();
que.pop();
return a;
}
TYPE(T) T pick(pq<T> &que) {
assert(que.size());
T a = que.top();
que.pop();
return a;
}
TYPE(T) T pick(pqg<T> &que) {
assert(que.size());
T a = que.top();
que.pop();
return a;
}
TYPE(T) T pick(stack<T> &sta) {
assert(sta.size());
T a = sta.top();
sta.pop();
return a;
}
TYPE(T) void clear(T &v) { v = decltype(v)(); }
string YES(bool f = true) { return (f ? "YES" : "NO"); }
string Yes(bool f = true) { return (f ? "Yes" : "No"); }
string yes(bool f = true) { return (f ? "yes" : "no"); }
constexpr int INF = 1e9 + 7;
constexpr ll LINF = ll(1e18) + 7;
constexpr ld EPS = 1e-10;
vi iota(int n) {
vi a(n);
iota(ALL(a), 0);
return a;
}
TYPE(T) vector<pair<T, int>> query_sort(const vector<T> &v) {
vector<pair<T, int>> res(v.size());
REP (i, v.size())
res[i] = {v[i], i};
SORT(res);
return res;
}
TYPE(T) void add(vector<T> &v, T a = 1) {
AFOR (p, v)
p += a;
}
TYPE(T) T rev(T a) {
REVERSE(a);
return a;
}
TYPE(T) void fin(T a) {
cout << a << '\n';
exit(0);
}
TYPE(T) bool chmax(T &a, T b) { return (a < b && (a = b, true)); }
TYPE(T) bool chmin(T &a, T b) { return (a > b && (a = b, true)); }
TYPES(T, Ns) auto make_vector(T x, int n, Ns... ns) {
if constexpr (sizeof...(ns) == 0)
return vector<T>(n, x);
else
return vector(n, make_vector<T>(x, ns...));
}
bool in(const ll S, const int a) { return (S >> a) & 1; }
int popcount(const ll S) { return __builtin_popcountll(S); }
int digit(char c) { return (c >= '0' and c <= '9' ? c - '0' : -1); }
ll sqrtll(ll a) {
for (ll b = sqrt(a); b * b <= a; b++)
if (b * b == a)
return b;
for (ll b = sqrt(a); b >= 0 and b * b >= a; b--)
if (b * b == a)
return b;
return -1;
}
#pragma endregion template
#include <bits/stdc++.h>
template <size_t SIGMA = 26, char MARGIN = 'a'> class Trie {
struct Node {
std::array<int, SIGMA> nxt;
Node() { std::ranges::fill(nxt, -1); }
};
protected:
std::vector<Node> nodes;
public:
Trie() : nodes(1, Node()) {}
int &nxt(size_t v, char c) { return nodes[v].nxt[c - MARGIN]; }
size_t add(const std::string &s) {
size_t now = 0;
for (char c : s) {
if (nxt(now, c) < 0) {
nxt(now, c) = nodes.size();
nodes.push_back(Node());
}
now = nxt(now, c);
}
debug(s, now);
return now;
}
std::vector<size_t> add(const std::vector<std::string> &v) {
std::vector<size_t> ret;
ret.reserve(v.size());
for (const std::string &s : v)
ret.push_back(add(s));
return ret;
}
};
template <size_t SIGMA = 26, char MARGIN = 'a'>
class AhoCorasick : Trie<SIGMA, MARGIN> {
using super = Trie<SIGMA, MARGIN>;
using super::nodes;
std::vector<std::map<size_t, uint32_t>> vertex_counts;
public:
using super::nxt;
using super::Trie;
std::vector<size_t> add(const std::vector<std::string> &v) {
auto ret = super::add(v);
size_t n = nodes.size();
debug(n);
for (int i = 0; i < n; i++) {
debug(i);
for (int j = 0; j < SIGMA; j++)
debug(i, j, nodes[i].nxt[j]);
}
std::vector<bool> exist(n, false);
for (size_t v : ret)
exist[v] = true;
vertex_counts.resize(n);
std::vector<size_t> suffix(n);
std::queue<int> que;
que.push(0);
while (que.size()) {
int v = que.front();
que.pop();
debug(v);
if (v) {
if (exist[v])
vertex_counts[v][v]++;
for (const auto &[key, value] : vertex_counts[suffix[v]])
vertex_counts[v][key] += value;
}
for (int i = 0; i < SIGMA; i++) {
int &to = nodes[v].nxt[i];
debug(to);
if (~to) {
suffix[to] = v ? nodes[suffix[v]].nxt[i] : 0;
que.push(to);
} else
to = v ? nodes[suffix[v]].nxt[i] : 0;
}
}
return ret;
}
const std::map<size_t, uint32_t> &count(size_t v) const {
return vertex_counts[v];
}
std::map<size_t, uint32_t> path(const std::string &s) const {
std::map<size_t, uint32_t> ret;
size_t v = 0;
for (const char &c : s) {
v = nxt(v, c);
for (const auto &[key, value] : vertex_counts)
ret[key] += value;
}
return ret;
}
};
#include <atcoder/modint>
using namespace atcoder;
using mint = modint1000000007;
namespace atcoder {
ostream &operator<<(ostream &os, mint a) {
os << a.val();
return os;
}
istream &operator>>(istream &is, mint &a) {
long long b;
is >> b;
a = b;
return is;
}
} // namespace atcoder
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n;
std::cin >> n;
uint64_t l, r;
std::cin >> l >> r;
std::vector<uint64_t> fib{1, 2};
while (fib.back() < r)
fib.push_back(fib[fib.size() - 2] + fib[fib.size() - 1]);
std::vector<std::string> v;
for (const auto &x : fib) {
if (std::clamp(x, l, r) != x)
continue;
v.push_back(std::to_string(x));
}
debug(v);
AhoCorasick<10, '0'> T;
T.add(v);
debug(v);
std::map<size_t, mint> dp{{0, 1}};
REP (n) {
std::map<size_t, mint> nxt;
for (const auto &[v, val] : dp) {
for (char c = '0'; c <= '9'; c++) {
size_t to = T.nxt(v, c);
if (T.count(to).size())
continue;
nxt[to] += val;
}
}
dp = nxt;
}
mint ans = -1;
for (const auto &[key, val] : dp)
ans += val;
std::cout << ans << '\n';
}
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