#519107 (C++17) No.1127 変形パスカルの三角形

提出ソース

結果

問題	No.1127 変形パスカルの三角形
ユーザー	FF256grhy
提出日時	2020-07-27 00:37:52
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	30 ms / 1,500 ms
コード長	4,737 bytes
コンパイル時間	2,297 ms
コンパイル使用メモリ	208,776 KB
実行使用メモリ	6,400 KB
最終ジャッジ日時	2024-06-28 19:44:12
合計ジャッジ時間	3,843 ms
ジャッジサーバーID （参考情報）	judge1 / judge2

このコードへのチャレンジ
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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 5,248 KB
testcase_01	AC	30 ms 6,400 KB
testcase_02	AC	20 ms 5,376 KB
testcase_03	AC	16 ms 5,376 KB
testcase_04	AC	5 ms 5,376 KB
testcase_05	AC	15 ms 5,376 KB
testcase_06	AC	29 ms 6,400 KB
testcase_07	AC	10 ms 5,376 KB
testcase_08	AC	10 ms 5,376 KB
testcase_09	AC	25 ms 5,760 KB
testcase_10	AC	25 ms 5,888 KB
testcase_11	AC	21 ms 5,376 KB
testcase_12	AC	20 ms 5,376 KB
testcase_13	AC	18 ms 5,376 KB
testcase_14	AC	15 ms 5,376 KB
testcase_15	AC	9 ms 5,376 KB
testcase_16	AC	16 ms 5,376 KB
testcase_17	AC	9 ms 5,376 KB
testcase_18	AC	18 ms 5,376 KB
testcase_19	AC	21 ms 5,376 KB
testcase_20	AC	22 ms 5,504 KB
testcase_21	AC	22 ms 5,504 KB
testcase_22	AC	9 ms 5,376 KB
testcase_23	AC	25 ms 5,760 KB
testcase_24	AC	16 ms 5,376 KB
testcase_25	AC	16 ms 5,376 KB
testcase_26	AC	18 ms 5,376 KB
testcase_27	AC	20 ms 5,504 KB
testcase_28	AC	21 ms 5,376 KB
testcase_29	AC	9 ms 5,376 KB
testcase_30	AC	7 ms 5,376 KB
testcase_31	AC	22 ms 5,376 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
using LL = long long int;
#define incID(i, l, r) for(int i = (l)    ; i <  (r); ++i)
#define decID(i, l, r) for(int i = (r) - 1; i >= (l); --i)
#define incII(i, l, r) for(int i = (l)    ; i <= (r); ++i)
#define decII(i, l, r) for(int i = (r)    ; i >= (l); --i)
#define inc(i, n)  incID(i, 0, n)
#define dec(i, n)  decID(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec1(i, n) decII(i, 1, n)
#define inID(v, l, r) ((l) <= (v) && (v) <  (r))
#define inII(v, l, r) ((l) <= (v) && (v) <= (r))
#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(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()
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 SI(v) static_cast<int>(v.size())
#define RF(e, v) for(auto & e: v)
#define until(e) while(! (e))
#define if_not(e) if(! (e))
#define ef else if
#define UR assert(false)
#define IN(T, ...) T __VA_ARGS__; IN_(__VA_ARGS__);
void IN_() { };
template<typename T, typename ... U> void IN_(T &  a, U &  ... b) { cin >> a; IN_(b ...); };
template<typename T                > void OUT(T && a            ) { cout << a << endl; }
template<typename T, typename ... U> void OUT(T && a, U && ... b) { cout << a << " "; OUT(b ...); }

// ---- ----

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]);
	}
};

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 get_v() { return v; }
	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>;

int main() {
	IN(LL, a, b, n, k);
	k--;
	Combination<MI> c(n - 1);
	auto f = [&](LL n, LL k) -> MI {
		if(k == 0) { return a; }
		ef(k == n) { return b; }
		return a * c.C(n - 1, k) + b * c.C(n - 1, k - 1);
	};
	MI s = 0;
	incII(i, 0, n) { s += f(n, i) * f(n, i); }
	OUT(f(n, k));
	OUT(s);
}

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結果

テストケース

ソースコード