結果

問題 No.1035 Color Box
ユーザー Ogtsn99
提出日時 2020-04-24 22:11:29
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 21 ms / 2,000 ms
コード長 7,341 bytes
コンパイル時間 1,410 ms
コンパイル使用メモリ 169,780 KB
実行使用メモリ 15,476 KB
最終ジャッジ日時 2024-10-15 02:58:30
合計ジャッジ時間 2,924 ms
ジャッジサーバーID
(参考情報)
judge4 / judge2
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 * 2
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 <bits/stdc++.h>
using namespace std;
#define int long long
#define rep(i,n) for(int (i)=0;(i)<(n);(i)++)
#define rrep(i,n) for(int (i)=((n)-1);(i)>=0;(i)--)
#define itn int
#define miele(v) min_element(v.begin(), v.end())
#define maele(v) max_element(v.begin(), v.end())
#define SUM(v) accumulate(v.begin(), v.end(), 0LL)
#define lb(a, key) lower_bound(a.begin(),a.end(),key)
#define ub(a, key) upper_bound(a.begin(),a.end(),key)
#define COUNT(a, key) count(a.begin(), a.end(), key)
#define BITCOUNT(x) __builtin_popcount(x)
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define F first
#define S second
using P = pair <int,int>;
using WeightedGraph = vector<vector <P>>;
using UnWeightedGraph = vector<vector<int>>;
using Real = long double;
using Point = complex<Real>; //Point and Vector2d is the same!
using Vector2d = complex<Real>;
const long long INF = 1LL << 60;
const int MOD = 1000000007;
const double EPS = 1e-15;
const double PI=3.14159265358979323846;
template <typename T>
int getIndexOfLowerBound(vector <T> &v, T x){
return lower_bound(v.begin(),v.end(),x)-v.begin();
}
template <typename T>
int getIndexOfUpperBound(vector <T> &v, T x){
return upper_bound(v.begin(),v.end(),x)-v.begin();
}
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
#define DUMPOUT cerr
#define repi(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
istream &operator>>(istream &is, Point &p) {
Real a, b; is >> a >> b; p = Point(a, b); return is;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T,U> &p_var) {
is >> p_var.first >> p_var.second;
return is;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &vec) {
for (T &x : vec) is >> x;
return is;
}
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &df) {
for(int i=0;i<df.size();i++)for(int j=0;j<df[i].size();j++)
is >> df[i][j];
return is;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, pair<T, U> &pair_var) {
DUMPOUT<<'{';
os << pair_var.first;
DUMPOUT<<',';
os << " "<< pair_var.second;
DUMPOUT<<'}';
return os;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &vec) {
DUMPOUT<<'[';
for (int i = 0; i < vec.size(); i++)
os << vec[i] << (i + 1 == vec.size() ? "" : " ");
DUMPOUT<<']';
return os;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &df) {
for (auto& vec : df) os<<vec;
return os;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, map<T, U> &map_var) {
DUMPOUT << "{";
repi(itr, map_var) {
os << *itr;
itr++;
if (itr != map_var.end()) DUMPOUT << ", ";
itr--;
}
DUMPOUT << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, set<T> &set_var) {
DUMPOUT << "{";
repi(itr, set_var) {
os << *itr;
itr++;
if (itr != set_var.end()) DUMPOUT << ", ";
itr--;
}
DUMPOUT << "}";
return os;
}
void print() {cout << endl;}
template <class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
cout << head;
if (sizeof...(tail) != 0) cout << " ";
print(forward<Tail>(tail)...);
}
void dump_func() {DUMPOUT << '#'<<endl;}
template <typename Head, typename... Tail>
void dump_func(Head &&head, Tail &&... tail) {
DUMPOUT << head;
if (sizeof...(Tail) > 0) DUMPOUT << ", ";
dump_func(std::move(tail)...);
}
#ifdef DEBUG_
#define DEB
#define dump(...) \
DUMPOUT << " " << string(#__VA_ARGS__) << ": " \
<< "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" \
<< endl \
<< " ", \
dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
int power(int x, int n) {
int ret = 1;
while(n > 0) {
if(n & 1) (ret *= x) %= MOD;
(x *= x) %= MOD;
n >>= 1;
}
return ret;
}
const int MAX = 510000;
long long fac[MAX], finv[MAX], inv[MAX];
void COMinit() {
fac[0] = fac[1] = 1;
finv[0] = finv[1] = 1;
inv[1] = 1;
for (int i = 2; i < MAX; i++){
fac[i] = fac[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
finv[i] = finv[i - 1] * inv[i] % MOD;
}
}
long long COM(int n, int k){
if (n < k) return 0;
if (n < 0 || k < 0) return 0;
return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}
template<int MOD> struct Fp {
long long val;
constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
if (val < 0) val += MOD;
}
constexpr int getmod() { return MOD; }
constexpr Fp operator - () const noexcept {
return val ? MOD - val : 0;
}
constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
constexpr Fp& operator += (const Fp& r) noexcept {
val += r.val;
if (val >= MOD) val -= MOD;
return *this;
}
constexpr Fp& operator -= (const Fp& r) noexcept {
val -= r.val;
if (val < 0) val += MOD;
return *this;
}
constexpr Fp& operator *= (const Fp& r) noexcept {
val = val * r.val % MOD;
return *this;
}
constexpr Fp& operator /= (const Fp& r) noexcept {
long long a = r.val, b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b; swap(a, b);
u -= t * v; swap(u, v);
}
val = val * u % MOD;
if (val < 0) val += MOD;
return *this;
}
constexpr bool operator == (const Fp& r) const noexcept {
return this->val == r.val;
}
constexpr bool operator != (const Fp& r) const noexcept {
return this->val != r.val;
}
friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept {
return os << x.val;
}
friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept {
if (n == 0) return 1;
auto t = modpow(a, n / 2);
t = t * t;
if (n & 1) t = t * a;
return t;
}
};
using mint = Fp<1000000007>;
template< typename T >
struct ruiseki{
vector <T> s;
int sz;
ruiseki(vector <T> &a){
sz = a.size()+1;
s.resize(sz);
for(int i=1;i<sz;i++) s[i] = s[i-1] + a[i-1];
}
T get(int a, int b){
if(a < 0) a = 0; if(a > sz-1) a = sz-1;
if(b > sz-1) b = sz-1;
return s[b] - s[a];
}
};
signed main(void) { cin.tie(0); ios::sync_with_stdio(false);
int n, m; cin>>n>>m;
COMinit();
mint ans = 0;
dump(ans);
mint tmp = m; //
ans = m;
for(int i=2;i<=m;i++){
mint add = power(i, n)*COM(m, i);
add -= ans;
ans = add;
}
print(ans);
}
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