結果
| 問題 | No.802 だいたい等差数列 |
| ユーザー |
 FF256grhy
|
| 提出日時 | 2021-04-23 00:14:41 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
CE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 7,795 bytes |
| コンパイル時間 | 1,867 ms |
| コンパイル使用メモリ | 198,260 KB |
| 最終ジャッジ日時 | 2024-11-15 01:01:08 |
| 合計ジャッジ時間 | 2,303 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
コンパイルメッセージ
main.cpp: In instantiation of 'T in() [with T = std::array<long long int, 4>]':
main.cpp:57:67: required from 'auto ain() [with T = long long int; long unsigned int N = 4]'
main.cpp:175:34: required from here
main.cpp:48:43: error: no match for 'operator>>' (operand types are 'std::basic_istream<char>' and 'std::array<long long int, 4>')
48 | template<typename T> T in() { T a; (* IS) >> a; return a; }
| ~~~~~~~^~~~
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/sstream:38,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/complex:45,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ccomplex:39,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/x86_64-pc-linux-gnu/bits/stdc++.h:54,
from main.cpp:1:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/istream:120:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(__istream_type& (*)(__istream_type&)) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]'
120 | operator>>(__istream_type& (*__pf)(__istream_type&))
| ^~~~~~~~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/istream:120:36: note: no known conversion for argument 1 from 'std::array<long long int, 4>' to 'std::basic_istream<char>::__istream_type& (*)(std::basic_istream<char>::__istream_type&)' {aka 'std::basic_istream<char>& (*)(std::basic_istream<char>&)'}
120 | operator>>(__istream_type& (*__pf)(__istream_type&))
| ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/istream:124:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(__ios_type& (
ソースコード
#include <bits/stdc++.h>
using namespace std;
using LL = long long int;
#define incII(i, l, r) for(LL i = (l) ; i <= (r); i++)
#define incIX(i, l, r) for(LL i = (l) ; i < (r); i++)
#define incXI(i, l, r) for(LL i = (l) + 1; i <= (r); i++)
#define incXX(i, l, r) for(LL i = (l) + 1; i < (r); i++)
#define decII(i, l, r) for(LL i = (r) ; i >= (l); i--)
#define decIX(i, l, r) for(LL i = (r) - 1; i >= (l); i--)
#define decXI(i, l, r) for(LL i = (r) ; i > (l); i--)
#define decXX(i, l, r) for(LL i = (r) - 1; i > (l); i--)
#define inc(i, n) incIX(i, 0, n)
#define dec(i, n) decIX(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec1(i, n) decII(i, 1, n)
auto inII = [](auto x, auto l, auto r) { return (l <= x && x <= r); };
auto inIX = [](auto x, auto l, auto r) { return (l <= x && x < r); };
auto inXI = [](auto x, auto l, auto r) { return (l < x && x <= r); };
auto inXX = [](auto x, auto l, auto r) { return (l < x && x < r); };
auto setmin = [](auto & a, auto b) { return (b < a ? a = b, true : false); };
auto setmax = [](auto & a, auto b) { return (b > a ? a = b, true : false); };
auto setmineq = [](auto & a, auto b) { return (b <= a ? a = b, true : false); };
auto setmaxeq = [](auto & a, auto b) { return (b >= a ? a = b, true : false); };
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define MT make_tuple
#define FI first
#define SE second
#define FR front()
#define BA back()
#define ALL(c) c.begin(), c.end()
#define RALL(c) c.rbegin(), c.rend()
#define RV(c) reverse(ALL(c))
#define SC static_cast
#define SI(c) SC<int>(c.size())
#define SL(c) SC<LL >(c.size())
#define RF(e, c) for(auto & e: c)
#define SF(c, ...) for(auto & [__VA_ARGS__]: c)
#define until(e) while(! (e))
#define if_not(e) if(! (e))
#define ef else if
#define UR assert(false)
auto * IS = & cin;
auto * OS = & cout;
array<string, 3> SEQ = { "", " ", "" };
// input
template<typename T> T in() { T a; (* IS) >> a; return a; }
// input: tuple
template<int I, typename U> void tin_(istream & is, U & t) {
if constexpr(I < tuple_size<U>::value) { is >> get<I>(t); tin_<I + 1>(is, t); }
}
template<typename ... T> istream & operator>>(istream & is, tuple<T ...> & t) { tin_<0>(is, t); return is; }
template<typename ... T> auto tin() { return in<tuple<T ...>>(); }
// input: array
template<typename T, size_t N> istream & operator>>(istream & is, array<T, N> & a) { RF(e, a) { is >> e; } return is; }
template<typename T, size_t N> auto ain() { return in<array<T, N>>(); }
// input: multi-dimensional vector
template<typename T> T vin() { T v; (* IS) >> v; return v; }
template<typename T, typename N, typename ... M> auto vin(N n, M ... m) {
vector<decltype(vin<T, M ...>(m ...))> v(n); inc(i, n) { v[i] = vin<T, M ...>(m ...); } return v;
}
// input: multi-column (tuple<vector>)
template<typename U, int I> void colin_([[maybe_unused]] U & t) { }
template<typename U, int I, typename A, typename ... B> void colin_(U & t) {
get<I>(t).PB(in<A>()); colin_<U, I + 1, B ...>(t);
}
template<typename ... T> auto colin(int n) {
tuple<vector<T> ...> t; inc(i, n) { colin_<tuple<vector<T> ...>, 0, T ...>(t); } return t;
}
// output
void out_([[maybe_unused]] string s) { }
template<typename A> void out_([[maybe_unused]] string s, A && a) { (* OS) << a; }
template<typename A, typename ... B> void out_(string s, A && a, B && ... b) { (* OS) << a << s; out_(s, b ...); }
auto outF = [](auto x, auto y, auto z, auto ... a) { (* OS) << x; out_(y, a ...); (* OS) << z << flush; };
auto out = [](auto ... a) { outF("", " " , "\n", a ...); };
auto outS = [](auto ... a) { outF("", " " , " " , a ...); };
auto outL = [](auto ... a) { outF("", "\n", "\n", a ...); };
auto outN = [](auto ... a) { outF("", "" , "" , a ...); };
// output: multi-dimensional vector
template<typename T> ostream & operator<<(ostream & os, vector<T> const & v) {
os << SEQ[0]; inc(i, SI(v)) { os << (i == 0 ? "" : SEQ[1]) << v[i]; } return (os << SEQ[2]);
}
template<typename T> void vout_(T && v) { (* OS) << v; }
template<typename T, typename A, typename ... B> void vout_(T && v, A a, B ... b) {
inc(i, SI(v)) { (* OS) << (i == 0 ? "" : a); vout_(v[i], b ...); }
}
template<typename T, typename A, typename ... B> void vout (T && v, A a, B ... b) { vout_(v, a, b ...); (* OS) << a << flush; }
template<typename T, typename A, typename ... B> void voutN(T && v, A a, B ... b) { vout_(v, a, b ...); (* OS) << flush; }
// ---- ----
template<LL M> class ModInt {
private:
LL v;
pair<LL, LL> ext_gcd(LL a, LL b) {
if(b == 0) { assert(a == 1); return { 1, 0 }; }
auto p = ext_gcd(b, a % b);
return { p.SE, p.FI - (a / b) * p.SE };
}
public:
ModInt(LL vv = 0) { v = vv; if(abs(v) >= M) { v %= M; } if(v < 0) { v += M; } }
LL val() { return v; }
static LL mod() { return M; }
ModInt inv() { return ext_gcd(M, v).SE; }
ModInt exp(LL b) {
ModInt p = 1, a = v; if(b < 0) { a = a.inv(); b = -b; }
while(b) { if(b & 1) { p *= a; } a *= a; b >>= 1; }
return p;
}
friend bool operator< (ModInt a, ModInt b) { return (a.v < b.v); }
friend bool operator> (ModInt a, ModInt b) { return (a.v > b.v); }
friend bool operator<=(ModInt a, ModInt b) { return (a.v <= b.v); }
friend bool operator>=(ModInt a, ModInt b) { return (a.v >= b.v); }
friend bool operator==(ModInt a, ModInt b) { return (a.v == b.v); }
friend bool operator!=(ModInt a, ModInt b) { return (a.v != b.v); }
friend ModInt operator+ (ModInt a ) { return ModInt(+a.v); }
friend ModInt operator- (ModInt a ) { return ModInt(-a.v); }
friend ModInt operator+ (ModInt a, ModInt b) { return ModInt(a.v + b.v); }
friend ModInt operator- (ModInt a, ModInt b) { return ModInt(a.v - b.v); }
friend ModInt operator* (ModInt a, ModInt b) { return ModInt(a.v * b.v); }
friend ModInt operator/ (ModInt a, ModInt b) { return a * b.inv(); }
friend ModInt operator^ (ModInt a, LL b) { return a.exp(b); }
friend ModInt & operator+=(ModInt & a, ModInt b) { return (a = a + b); }
friend ModInt & operator-=(ModInt & a, ModInt b) { return (a = a - b); }
friend ModInt & operator*=(ModInt & a, ModInt b) { return (a = a * b); }
friend ModInt & operator/=(ModInt & a, ModInt b) { return (a = a / b); }
friend ModInt & operator^=(ModInt & a, LL b) { return (a = a ^ b); }
friend istream & operator>>(istream & s, ModInt & b) { s >> b.v; b = ModInt(b.v); return s; }
friend ostream & operator<<(ostream & s, ModInt b) { return (s << b.v); }
};
// ----
using MI = ModInt<1'000'000'007>;
template<typename T> struct Combination {
LL n;
vector<T> f, r;
Combination(LL n) : n(n) {
f = r = vector<T>(n + 1);
inc(i, n + 1) { f[i] = (i == 0 ? 1 : f[i - 1] * i ); }
dec(i, n + 1) { r[i] = (i == n ? f[n].inv() : r[i + 1] * (i + 1)); }
}
T P(LL a, LL b) {
assert(inII(a, 0, n) && inII(b, 0, n));
return (a < b ? 0 : f[a] * r[a - b]);
}
T C(LL a, LL b) {
assert(inII(a, 0, n) && inII(b, 0, n));
return (a < b ? 0 : f[a] * r[a - b] * r[b]);
}
T H(LL a, LL b) {
assert(inII(a, 0, n) && inII(b, 0, n) && inII(a + b - 1, -1, n));
return (a == 0 ? (b == 0 ? 1 : 0) : f[a + b - 1] * r[a - 1] * r[b]);
}
};
int main() {
auto f = [](LL n, LL d, LL m) -> MI {
if(m <= 0) { return 0; }
Combination<MI> c(n + m);
MI ans = 0;
incII(i, 0, m / d) {
// sum_{ i: [0, m] } H(n, i) == C(n + m, n)
// sum_{ i: [0, m] } H(n, i) * i == C(n + m, n + 1) * n
MI s0 = c.C(n + m - i * d, n);
MI s1 = c.C(n + m - i * d, n + 1) * n;
ans += (i % 2 == 0 ? +1 : -1) * c.C(n, i) * ((m - i * d) * s0 - s1);
}
return ans;
};
auto [n, m, d1, d2] = ain<LL, 4>();
out(f(n - 1, d2 - d1 + 1, m - (n - 1) * d1));
}