#646729 (C++17) No.1474 かさまＪ

提出ソース
結果

問題	No.1474 かさまＪ
コンテスト
ユーザー	satanic
提出日時	2021-04-10 01:04:13
言語	C++17 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	313 ms / 2,500 ms
コード長	14,354 bytes
コンパイル時間	2,073 ms
コンパイル使用メモリ	149,668 KB
最終ジャッジ日時	2025-01-20 15:24:30
ジャッジサーバーID （参考情報）	judge5 / 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 * 4
other	AC * 17
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

raw source code
//
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//
//                                          ...Jggg+J+JJJg@NQmgJa.....,       
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//       ?77WMMMYB""!                                                                        _7"WWMMMY"7=     

// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <cstring>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
#include <fstream>

//std::ifstream ifs("d.in");
//auto& scan_in = ifs;
auto& scan_in = std::cin;
auto& scan_out = std::cout;

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { scan_in >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { scan_in >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { scan_in >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { scan_in >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)scan_in>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)scan_in>>w;
// output
template<typename T>void MACRO_OUT(const T t) { scan_out << t; }
template<typename First, typename...Rest>void MACRO_OUT(const First first, const Rest...rest) { scan_out << first << ' '; MACRO_OUT(rest...); }
#define OUT(...) MACRO_OUT(__VA_ARGS__);
#define FOUT(n, dist) scan_out<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) scan_out<<std::setw(n)<<std::setfill(c)<<(dist);
#define VOUT(v) for(size_t i = 0; i < v.size(); ++i) {OUT(v[i]);if(i+1<v.size()){SP}}
#define EOUT(...) do{ OUT(__VA_ARGS__)BR; exit(0); }while(0);
#define SP scan_out<<' ';
#define TAB scan_out<<'\t';
#define BR scan_out<<'\n';
#define SPBR(w, n) scan_out<<(w + 1 == n ? '\n' : ' ');
#define ENDL scan_out<<std::endl;
#define FLUSH scan_out<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t: " << (dist) << '\n';}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define REP(w, n) FOR(w, 0, n)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define RREP(w, n) RFOR(w, 0, n)
template<class S, class T, class U> bool IN(S a, T x, U b) { return a <= x && x < b; }
template<class T> inline bool CHMAX(T& a, const T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool CHMIN(T& a, const T b) { if (a > b) { a = b; return true; } return false; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;

template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, const std::pair<S, T>& p) {
	os << '(' << p.first << ',' << p.second << ')';
	return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
	os << '{';
	for (size_t i = 0; i < v.size(); ++i) os << v[i] << ((i + 1 < v.size()) ? ',' : '}');
	return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::set<T>& v) {
	os << '{';
	for (auto it = v.cbegin(); it != v.cend();) {
		os << *it << (++it == v.cend() ? '}' : ',');
	}
	return os;
}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, const std::map<S, T>& m) {
	os << '{';
	for (auto it = m.cbegin(); it != m.cend();) { os << it->first << ':' << it->second; ++it; os << (it != m.cend() ? ',' : '}'); }
	return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, std::queue<T> q) {
	os << '<';
	while (!q.empty()) { os << q.front(); q.pop(); os << (q.empty() ? '<' : ','); }
	return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, std::stack<T> q) {
	os << '>';
	while (!q.empty()) { os << q.top(); q.pop(); os << (q.empty() ? ']' : ','); }
	return os;
}
namespace std {
	template<typename S, typename T> class numeric_limits<pair<S, T>> {
	public:
		static constexpr pair<S, T> max() noexcept { return { numeric_limits<S>::max(), numeric_limits<T>::max() }; }
		static constexpr pair<S, T> lowest() noexcept { return { numeric_limits<S>::lowest(), numeric_limits<T>::lowest() }; }
	};
}

// type/const
using i64 = long long;
using u64 = unsigned long long;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
constexpr int INFINT = (1 << 30) - 1;                    // 1.07x1[i]0^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x1[i]0^ 9
constexpr long long INFLL = 1LL << 60;                          // 1.15x1[i]0^18
constexpr long long INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x1[i]0^18
constexpr double EPS = 1e-6;
constexpr int MOD = 1000000007;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T>& a, const T& val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>>& a, const T& val) { for (auto& b : a) FILL(b, val); }
// ------------>8------------------------>8------------

class ModInt {
	friend std::istream& operator>>(std::istream& is, ModInt& obj);
private:
	inline ModInt& normUpper() { if (val >= MOD) val -= MOD; return *this; }
	inline ModInt& normLower() { if (val < 0) val += MOD; return *this; }
	inline ModInt& norm() { return normUpper(), normLower(); }
public:
	constexpr static int numOfPrecalc = 1000006;
	static ModInt inv[numOfPrecalc];
	int val;
	ModInt() : val(0) {}
	ModInt(int n) : val(n) { if (n >= MOD || n <= -MOD) n %= MOD; norm(); }
	ModInt(long long n) : ModInt((int)(n% MOD)) {}
	ModInt& operator=(const ModInt& r) { val = r.val; return *this; }
	ModInt operator+() const { return *this; }
	ModInt operator-() const { return ModInt(MOD - val); }
	ModInt& operator+=(const ModInt& r) { val += r.val; return normUpper(); }
	ModInt& operator-=(const ModInt& r) { val -= r.val; return normLower(); }
	ModInt& operator*=(const ModInt& r) { val = (long long)val * r.val % MOD; return *this; }
	ModInt& operator/=(ModInt r) { return *this *= (r.val < numOfPrecalc) ? inv[r.val] : (r ^= MOD - 2); }
	ModInt& operator^=(int p) {
		ModInt t(*this); *this = 1;
		for (; p; p >>= 1, t *= t) if (p & 1) *this *= t;
		return *this;
	}
	const ModInt operator+(const ModInt& r) const { return ModInt(*this) += r; }
	const ModInt operator-(const ModInt& r) const { return ModInt(*this) -= r; }
	const ModInt operator*(const ModInt& r) const { return ModInt(*this) *= r; }
	const ModInt operator/(const ModInt& r) const { return ModInt(*this) /= r; }
	const ModInt operator^(int p) const { return ModInt(*this) ^= p; }
};
const ModInt operator+(int l, const ModInt& r) { return ModInt(l) += r; }
const ModInt operator-(int l, const ModInt& r) { return ModInt(l) -= r; }
const ModInt operator*(int l, const ModInt& r) { return ModInt(l) *= r; }
const ModInt operator/(int l, const ModInt& r) { return ModInt(l) /= r; }

std::ostream& operator<<(std::ostream& os, const ModInt& obj) { return os << obj.val; }
/* friend */ std::istream& operator>>(std::istream& is, ModInt& obj) {
	is >> obj.val; obj.norm();
	return is;
}
ModInt ModInt::inv[ModInt::numOfPrecalc];
struct Init_ModInt {
	Init_ModInt() {
		ModInt::inv[1] = 1;
		for (int i = 2; i < ModInt::numOfPrecalc; ++i) ModInt::inv[i] = (MOD - MOD / i) * ModInt::inv[MOD % i];
	}
} _init_modint;
/** ModInt **/

ll powMod(ll n, ll p, ll mod) {
	ll res = 1;
	while (p) {
		if (p & 1) (res *= n) %= mod;
		(n *= n) %= mod;
		p >>= 1;
	}
	return res;
}
ll invMod(ll n, ll mod) {
	return powMod(n, MOD - 2, MOD);
}

const signed FACT_MAX_N = 1000006;
signed fact[FACT_MAX_N];
signed factInv[FACT_MAX_N];
struct INIT_FACT {
	INIT_FACT() {
		fact[0] = 1;
		for (int i = 1; i < FACT_MAX_N; ++i) fact[i] = (long long)i * fact[i - 1] % MOD;
		factInv[FACT_MAX_N - 1] = powMod(fact[FACT_MAX_N - 1], MOD - 2, MOD);
		for (int i = FACT_MAX_N - 2; i >= 0; --i) factInv[i] = (long long)(i + 1) * factInv[i + 1] % MOD;
	}
} init_fact;

#if true // true if use MOD
/* n,r<=10^6, query O(1)*/
ll Permutation(int n, int r) {
	if (r == 0) return 1;
	if (n < r) return 0;
	return (long long)fact[n] * factInv[n - r] % MOD;
}
ll Combination(int n, int r) {
	if(0 <= r && r <= n) return (long long)fact[n] * factInv[n - r] % MOD * factInv[r] % MOD;
	return 0;
}
ll CombinationWithRepetition(ll n, ll r) {
	return Combination(n + r - 1, r);
}
/*n<=10^9, r<=10^5, query O(r)*/
/*ll Combination(ll n, ll r, ll mod) {
	if (n < r) return 0;
	ll ans = 1;
	if (n < 2 * r) r = n - r;
	for (int i = 1; i <= r; ++i) {
		ans *= n - i + 1; ans %= mod;
		ans *= powMod(i, mod - 2, mod); ans %= mod;
	}
	return ans;
}
ll Permutation(int n, int r, int mod) {
	return Combination(n, r, mod) * fact[r] % MOD;
}*/
#else // unuse MOD
const signed COMB_MAX_N = 67; // <- max : 67
long long comb[COMB_MAX_N][COMB_MAX_N];
struct INIT_COMB {
	INIT_COMB() {
		for (int i = 0; i < COMB_MAX_N; ++i) {
			for (int j = 0; j <= i; ++j) {
				if (j == 0 || j == i) comb[i][j] = 1;
				else comb[i][j] = comb[i - 1][j - 1] + comb[i - 1][j];
			}
		}
	}
} init_comb;
#endif

ModInt dp[42][42][20004];

signed main() {
	INIT;

	VAR(int, n, mp, mq, l);
	VEC(int, s, n);

	dp[0][0][0] = 1;
	REP(i, n) REP(j, n) {
		ModInt sum = 0;
		REP(k, mq + 1) {
			dp[i + 1][j][k] += dp[i][j][k];
			dp[i + 1][j + 1][k] += sum;
			sum += dp[i][j][k];
			if(k - s[i] >= 0) sum -= dp[i][j][k - s[i]];
			//FOR(m, 1, s[i] + 1) if (k + m <= mq) dp[i + 1][j + 1][k + m] += dp[i][j][k];
		}
	}

	ModInt ans = 0;
	REP(j, n + 1) REP(k, mq + 1) if(dp[n][j][k].val > 0)
		ans += dp[n][j][k] * Combination(mp - j * l + k + n - 1, n - 1);
	EOUT(ans);

	return 0;
}
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結果

ソースコード
