#line 1 "main.cpp"
/**
* @title Template
*/
#include <iostream>
#include <algorithm>
#include <utility>
#include <numeric>
#include <vector>
#include <array>
#include <cassert>
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"
#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"
class range {
struct iter {
std::size_t itr;
constexpr iter(std::size_t pos) noexcept: itr(pos) { }
constexpr void operator ++ () noexcept { ++itr; }
constexpr bool operator != (iter other) const noexcept { return itr != other.itr; }
constexpr std::size_t operator * () const noexcept { return itr; }
};
struct reviter {
std::size_t itr;
constexpr reviter(std::size_t pos) noexcept: itr(pos) { }
constexpr void operator ++ () noexcept { --itr; }
constexpr bool operator != (reviter other) const noexcept { return itr != other.itr; }
constexpr std::size_t operator * () const noexcept { return itr; }
};
const iter first, last;
public:
constexpr range(std::size_t first, std::size_t last) noexcept: first(first), last(std::max(first, last)) { }
constexpr iter begin() const noexcept { return first; }
constexpr iter end() const noexcept { return last; }
constexpr reviter rbegin() const noexcept { return reviter(*last - 1); }
constexpr reviter rend() const noexcept { return reviter(*first - 1); }
};
/**
* @title Range
*/
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp"
#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp"
#include <cstdint>
constexpr std::pair<int64_t, int64_t> mod_inv(int64_t a, int64_t b) {
if ((a %= b) == 0) return { b, 0 };
int64_t s = b, t = (a < 0 ? a + b : a);
int64_t m0 = 0, m1 = 1, tmp = 0;
while (t > 0) {
const auto u = s / t;
s -= t * u; m0 -= m1 * u;
tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp;
}
return { s, (m0 < 0 ? m0 + b / s : m0) };
}
/**
* @title Extended GCD
*/
#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"
#line 8 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"
#include <type_traits>
template <class Modulus>
class modular {
public:
using value_type = uint32_t;
using cover_type = uint64_t;
static constexpr uint32_t mod() { return Modulus::mod(); }
template <class T>
static constexpr value_type normalize(T value_) noexcept {
if (value_ < 0) {
value_ = -value_;
value_ %= mod();
if (value_ == 0) return 0;
return mod() - value_;
}
return value_ % mod();
}
private:
value_type value;
template <bool IsPrime, std::enable_if_t<IsPrime>* = nullptr>
constexpr modular inverse_helper() const noexcept { return power(*this, mod() - 2); }
template <bool IsPrime, std::enable_if_t<!IsPrime>* = nullptr>
constexpr modular inverse_helper() const noexcept {
const auto tmp = mod_inv(value, mod());
assert(tmp.first == 1);
return modular(tmp.second);
}
public:
constexpr modular() noexcept : value(0) { }
template <class T>
explicit constexpr modular(T value_) noexcept : value(normalize(value_)) { }
template <class T>
explicit constexpr operator T() const noexcept { return static_cast<T>(value); }
constexpr value_type get() const noexcept { return value; }
constexpr value_type &extract() noexcept { return value; }
constexpr modular operator - () const noexcept { return modular(mod() - value); }
constexpr modular operator ~ () const noexcept { return inverse(*this); }
constexpr modular operator + (const modular &rhs) const noexcept { return modular(*this) += rhs; }
constexpr modular& operator += (const modular &rhs) noexcept {
if ((value += rhs.value) >= mod()) value -= mod();
return *this;
}
constexpr modular operator - (const modular &rhs) const noexcept { return modular(*this) -= rhs; }
constexpr modular& operator -= (const modular &rhs) noexcept {
if ((value += mod() - rhs.value) >= mod()) value -= mod();
return *this;
}
constexpr modular operator * (const modular &rhs) const noexcept { return modular(*this) *= rhs; }
constexpr modular& operator *= (const modular &rhs) noexcept {
value = (cover_type) value * rhs.value % mod();
return *this;
}
constexpr modular operator / (const modular &rhs) const noexcept { return modular(*this) /= rhs; }
constexpr modular& operator /= (const modular &rhs) noexcept { return (*this) *= inverse(rhs); }
constexpr bool zero() const noexcept { return value == 0; }
constexpr bool operator == (const modular &rhs) const noexcept { return value == rhs.value; }
constexpr bool operator != (const modular &rhs) const noexcept { return value != rhs.value; }
friend std::ostream& operator << (std::ostream &stream, const modular &rhs) { return stream << rhs.value; }
friend constexpr modular inverse(const modular &val) noexcept { return val.inverse_helper<Modulus::is_prime>(); }
friend constexpr modular power(modular val, cover_type exp) noexcept {
modular res(1);
for (; exp > 0; exp >>= 1, val *= val) if (exp & 1) res *= val;
return res;
}
};
template <uint32_t Mod, bool IsPrime = true>
struct static_modulus {
static constexpr uint32_t mod() noexcept { return Mod; }
static constexpr bool is_prime = IsPrime;
};
template <uint32_t Id = 0, bool IsPrime = false>
struct dynamic_modulus {
static uint32_t &mod() noexcept { static uint32_t val = 0; return val; }
static constexpr bool is_prime = IsPrime;
};
template <uint32_t Mod, bool IsPrime = true>
using mint32_t = modular<static_modulus<Mod, IsPrime>>;
using rmint32_t = modular<dynamic_modulus<>>;
/*
* @title Modint
*/
#line 16 "main.cpp"
using i32 = std::int32_t;
using i64 = std::int64_t;
using u32 = std::uint32_t;
using u64 = std::uint64_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;
constexpr i32 inf32 = (u32) ~0 >> 2;
constexpr i64 inf64 = (u64) ~0 >> 2;
template <class T>
using Vec = std::vector<T>;
using Fp = mint32_t<1000000007>;
usize N;
u32 L;
u32 A[100];
Fp dp[1 << 14][101][14];
int main() {
std::cin >> N >> L;
for (auto i: range(0, N)) {
std::cin >> A[i];
}
for (auto i: range(0, N)) {
dp[1 << i][0][i] = Fp(1);
}
for (auto set: range(0, 1 << N)) {
for (auto sum: range(0, L + 1)) {
for (auto last: range(0, N)) {
if (set >> last & 1) {
for (auto next: range(0, N)) {
if (!(set >> next & 1)) {
const auto ns = sum + (A[last] < A[next] ? A[next] - A[last] : A[last] - A[next]);
if (ns <= L) {
dp[set | (1 << next)][ns][next] += dp[set][sum][last];
}
}
}
}
}
}
}
Fp sum;
for (auto i: range(0, L + 1)) {
for (auto j: range(0, N)) {
sum += dp[(1 << N) - 1][i][j];
}
}
std::cout << sum << '\n';
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
620 KB |
Output is correct |
| 5 |
Incorrect |
23 ms |
1772 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
101 ms |
23020 KB |
Output is correct |
| 2 |
Correct |
608 ms |
90988 KB |
Output is correct |
| 3 |
Correct |
346 ms |
91116 KB |
Output is correct |
| 4 |
Correct |
609 ms |
91024 KB |
Output is correct |
| 5 |
Correct |
657 ms |
90988 KB |
Output is correct |
| 6 |
Correct |
614 ms |
91028 KB |
Output is correct |
| 7 |
Correct |
270 ms |
90716 KB |
Output is correct |
| 8 |
Correct |
364 ms |
90988 KB |
Output is correct |
| 9 |
Correct |
501 ms |
91020 KB |
Output is correct |
| 10 |
Correct |
551 ms |
91108 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
620 KB |
Output is correct |
| 5 |
Incorrect |
23 ms |
1772 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
