結果

問題 No.1238 選抜クラス
ユーザー piddypiddy
提出日時 2020-09-06 15:18:06
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 18 ms / 2,000 ms
コード長 5,540 bytes
コンパイル時間 764 ms
コンパイル使用メモリ 80,664 KB
実行使用メモリ 19,332 KB
最終ジャッジ日時 2023-08-19 16:34:55
合計ジャッジ時間 3,639 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge15
このコードへのチャレンジ（β）

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,380 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 3 ms
4,536 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 2 ms
4,376 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 3 ms
4,604 KB
testcase_09 AC 4 ms
5,328 KB
testcase_10 AC 3 ms
4,608 KB
testcase_11 AC 4 ms
5,188 KB
testcase_12 AC 3 ms
4,804 KB
testcase_13 AC 4 ms
4,848 KB
testcase_14 AC 3 ms
4,584 KB
testcase_15 AC 4 ms
5,332 KB
testcase_16 AC 4 ms
5,372 KB
testcase_17 AC 18 ms
19,228 KB
testcase_18 AC 18 ms
18,664 KB
testcase_19 AC 18 ms
19,012 KB
testcase_20 AC 17 ms
18,264 KB
testcase_21 AC 16 ms
17,792 KB
testcase_22 AC 18 ms
19,244 KB
testcase_23 AC 18 ms
19,260 KB
testcase_24 AC 18 ms
19,108 KB
testcase_25 AC 18 ms
19,164 KB
testcase_26 AC 18 ms
19,104 KB
testcase_27 AC 18 ms
19,068 KB
testcase_28 AC 18 ms
19,332 KB
testcase_29 AC 18 ms
19,104 KB
testcase_30 AC 6 ms
8,116 KB
testcase_31 AC 10 ms
12,044 KB
testcase_32 AC 14 ms
15,476 KB
testcase_33 AC 2 ms
4,380 KB
testcase_34 AC 15 ms
16,772 KB
testcase_35 AC 8 ms
9,324 KB
testcase_36 AC 5 ms
5,948 KB
testcase_37 AC 7 ms
8,324 KB
testcase_38 AC 17 ms
18,312 KB
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 # 

#include <iostream>
#include <vector>
#include <cassert>
using namespace std;
using ll = long long;

template<long long P>
long long modinv(long long n) {
	long long a = P, u = 1, v = 0;
	while (a) {
		long long t = n / a;
		n -= t * a;
		std::swap(n, a);
		u -= t * v;
		std::swap(u, v);
	}
	u %= P;
	if (u < 0) u += P;
	return u;
}

template<long long M>
struct modint {
	long long val;

	modint<M>(long long right) : val(right) {sub(val);}
	modint<M>() {val = 0;}

	void sub(long long &n) {
		if (n < 0) {
			long long m = (-n) % M;
			n = M - m;
		}
		else n %= M;
	}

	modint<M> operator+ (modint<M> right) {return (this -> val) + right.val;}
	modint<M> operator+ (long long right) {sub(right); return (this -> val) + right;}
	modint<M> operator- (modint<M> right) {return (this -> val) - right.val;}
	modint<M> operator- (long long right) {sub(right); return (this -> val) - right;}
	modint<M> operator* (modint<M> right) {return (this -> val) * right.val;}
	modint<M> operator* (long long right) {sub(right); return (this -> val) * right;}

	bool operator== (modint<M> right) {return ((this -> val) == right.val);}
	bool operator== (long long right) {sub(right); return ((this -> val) == right);}
	bool operator!= (modint<M> right) {return ((this -> val) != right.val);}
	bool operator!= (long long right) {sub(right); return ((this -> val) != right);}
	bool operator<= (modint<M> right) {return ((this -> val) <= right.val);}
	bool operator<= (long long right) {sub(right); return ((this -> val) <= right);}
	bool operator>= (modint<M> right) {return ((this -> val) >= right.val);}
	bool operator>= (long long right) {sub(right); return ((this -> val) >= right);}
	bool operator< (modint<M> right) {return ((this -> val) < right.val);}
	bool operator< (long long right) {sub(right); return ((this -> val) < right);}
	bool operator> (modint<M> right) {return ((this -> val) > right.val);}
	bool operator> (long long right) {sub(right); return ((this -> val) > right);}

	void operator+= (modint<M> right) {*this = *this + right;}
	void operator+= (long long right) {*this = *this + right;}
	void operator-= (modint<M> right) {*this = *this - right;}
	void operator-= (long long right) {*this = *this - right;}
	void operator*= (modint<M> right) {*this = *this * right;}
	void operator*= (long long right) {*this = *this * right;}

	modint<M>& operator++ () {*this += 1; return *this;}
	modint<M> operator++ (int) {*this += 1; return *this - 1;}
	modint<M>& operator-- () {*this -= 1; return *this;}
	modint<M> operator-- (int) {*this -= 1; return *this + 1;}

	modint<M> operator/ (modint<M> right) {return *this * modinv<M>(right.val);}
	modint<M> operator/ (long long right) {sub(right); return *this * modinv<M>(right);}

	void operator/= (modint<M> right) {*this = *this / right;}
	void operator/= (long long right) {*this = *this / right;}
};

std::vector<long long> factorial;
std::vector<long long> factorial_inv;

template<long long P>
void make_table(long long n) {
	factorial.resize(n + 1, 1); factorial_inv.resize(n + 1, 1);
	for (long long i = 2; i <= n; i++) {
		factorial[i] = factorial[i - 1] * i % P;
	}
	factorial_inv[n] = modinv<P>(factorial[n]);
	for (long long i = n - 1; i >= 0; i--) {
		factorial_inv[i] = factorial_inv[i + 1] * (i + 1) % P;
	}
}

template<long long P>
modint<P> permutation(long long n, long long r) {
	if (n <= factorial.size()) {
		modint<P> a = factorial[n], b = factorial_inv[n - r];
		return a * b;
	}
	else {
		std::cerr << "attention : factorial table is not constructed" << '\n';
		modint<P> ret = 1;
		for (long long i = 0; i < r; i++) ret *= n - i;
		return ret;
	}
}

template<long long P>
modint<P> combination(long long n, long long r) {
	r = std::min(r, n - r);
	if (n <= factorial.size()) {
		return permutation<P>(n, r) * factorial_inv[r];
	}
	else {
		std::cerr << "attention : factorial table is not constructed" << '\n';
		modint<P> ret = 1;
		for (long long i = 0; i < r; i++) {
			ret *= n - i;
			ret /= i + 1;
		}
		return ret;
	}
}

template<long long M>
modint<M> modpow(long long a, long long n) {
	a %= M;
	if (n == 0) return 1;
	if (a == 0) return 0;
	if (a == 1) return 1;
	long long b = 1, cnt = 0;
	while (b < M && cnt < n) {
		b *= a;
		cnt++;
	}
	modint<M> ret;
	if (b < M) ret = b;
	else {
		b %= M;
		ret = modpow<M>(b, n / cnt) * modpow<M>(a, n % cnt);
	}
	return ret;
}

template<long long M>
modint<M> modpow(modint<M> m, long long n) {
	long long a = m.val;
	if (n == 0) return 1;
	if (a == 0) return 0;
	if (a == 1) return 1;
	long long b = 1, cnt = 0;
	while (b < M && cnt < n) {
		b *= a;
		cnt++;
	}
	modint<M> ret;
	if (b < M) ret = b;
	else {
		b %= M;
		ret = modpow<M>(b, n / cnt) * modpow<M>(a, n % cnt);
	}
	return ret;
}

template<long long M>
std::ostream &operator<< (std::ostream &out, modint<M> tgt) {out << tgt.val; return out;}

int main() {
	int N, K;
	cin >> N >> K;
	assert(1 <= N && N <= 100 && 0 <= K && K <= 100);
	vector<int> A(N);
	for (int i = 0; i < N; i++) {
		cin >> A[i];
		assert(0 <= A[i] && A[i] <= 100);
	}

	for (int i = 0; i < N; i++) A[i] -= K;

	const int P = 1000000007;
	vector<vector<modint<P>>> dp(N, vector<modint<P>>(20001, 0));
	// dp[i][j] = A[i] まで見て和が j - 10000 になる部分列の個数
	dp[0][A[0] + 10000]++;
	for (int i = 1; i < N; i++) {
		dp[i] = dp[i - 1];
		dp[i][A[i] + 10000]++;
		for (int j = 0; j < 20001; j++) {
			if (dp[i - 1][j] > 0) dp[i][j + A[i]] += dp[i - 1][j];
		}
	}

	modint<P> ans = 0;
	for (int j = 10000; j < 20001; j++) ans += dp[N - 1][j];
	cout << ans << endl;
}
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