結果
| 問題 | No.1181 Product Sum for All Subsets |
| ユーザー |
 Shuz*
|
| 提出日時 | 2020-08-21 21:49:42 |
| 言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 59 ms / 2,000 ms |
| コード長 | 8,914 bytes |
| コンパイル時間 | 2,028 ms |
| コンパイル使用メモリ | 178,308 KB |
| 実行使用メモリ | 19,680 KB |
| 最終ジャッジ日時 | 2024-11-14 23:28:58 |
| 合計ジャッジ時間 | 3,799 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
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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 | 23 ms
19,680 KB |
| testcase_01 | AC | 22 ms
19,608 KB |
| testcase_02 | AC | 23 ms
19,436 KB |
| testcase_03 | AC | 23 ms
19,680 KB |
| testcase_04 | AC | 23 ms
19,564 KB |
| testcase_05 | AC | 23 ms
19,572 KB |
| testcase_06 | AC | 23 ms
19,616 KB |
| testcase_07 | AC | 23 ms
19,660 KB |
| testcase_08 | AC | 23 ms
19,612 KB |
| testcase_09 | AC | 23 ms
19,572 KB |
| testcase_10 | AC | 23 ms
19,588 KB |
| testcase_11 | AC | 23 ms
19,608 KB |
| testcase_12 | AC | 52 ms
19,468 KB |
| testcase_13 | AC | 28 ms
19,536 KB |
| testcase_14 | AC | 51 ms
19,616 KB |
| testcase_15 | AC | 45 ms
19,660 KB |
| testcase_16 | AC | 53 ms
19,632 KB |
| testcase_17 | AC | 35 ms
19,636 KB |
| testcase_18 | AC | 50 ms
19,464 KB |
| testcase_19 | AC | 47 ms
19,472 KB |
| testcase_20 | AC | 53 ms
19,668 KB |
| testcase_21 | AC | 38 ms
19,588 KB |
| testcase_22 | AC | 32 ms
19,568 KB |
| testcase_23 | AC | 26 ms
19,636 KB |
| testcase_24 | AC | 30 ms
19,560 KB |
| testcase_25 | AC | 37 ms
19,560 KB |
| testcase_26 | AC | 24 ms
19,564 KB |
| testcase_27 | AC | 22 ms
19,624 KB |
| testcase_28 | AC | 59 ms
19,652 KB |
| testcase_29 | AC | 59 ms
19,660 KB |
ソースコード
#include <bits/stdc++.h>
using namespace std;
#pragma region template
// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template <class T> using pvector = vector<pair<T, T>>;
template <class T> using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
constexpr const ll dx[4] = {1, 0, -1, 0};
constexpr const ll dy[4] = {0, 1, 0, -1};
constexpr const ll MOD = 1e9 + 7;
constexpr const ll mod = 998244353;
constexpr const ll INF = 1LL << 60;
constexpr const ll inf = 1 << 30;
constexpr const char rt = '\n';
constexpr const char sp = ' ';
#define rt(i, n) (i == (ll)(n) -1 ? rt : sp)
#define len(x) ((ll)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define ifn(x) if (not(x))
#define elif else if
#define elifn else ifn
#define fi first
#define se second
#define uniq(x) (sort(all(x)), (x).erase(unique(all(x)), (x).end()))
using graph = vector<vector<ll>>;
template <class T> using wgraph = vector<vector<ll, T>>;
bool __DIRECTED__ = true;
bool __ZERO_INDEXED__ = false;
istream &operator>>(istream &is, graph &g) {
ll a, b;
is >> a >> b;
if (__ZERO_INDEXED__ == false) a--, b--;
g[a].pb(b);
if (__DIRECTED__ == false) g[b].pb(a);
return is;
}
template <class T> istream &operator>>(istream &is, wgraph<T> &g) {
ll a, b;
T c;
is >> a >> b >> c;
if (__ZERO_INDEXED__ == false) a--, b--;
g[a].pb({b, c});
if (__DIRECTED__ == false) g[b].pb({a, c});
return is;
}
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
// Debug
#define debug(...) \
{ \
cerr << __LINE__ << ": " << #__VA_ARGS__ << " = "; \
for (auto &&__i : {__VA_ARGS__}) cerr << "[" << __i << "] "; \
cerr << rt; \
}
#define dump(a, h, w) \
{ \
cerr << __LINE__ << ": " << #a << " = [" << rt; \
rep(__i, h) { \
rep(__j, w) { \
if (abs(a[__i][__j]) >= INF / 2 and a[__i][__j] <= -INF / 2) cerr << '-'; \
if (abs(a[__i][__j]) >= INF / 2) cerr << "∞" << sp; \
else \
cerr << a[__i][__j] << sp; \
} \
cerr << rt; \
} \
cerr << "]" << rt; \
}
#define vdump(a, n) \
{ \
cerr << __LINE__ << ": " << #a << " = ["; \
rep(__i, n) { \
if (__i) cerr << sp; \
if (abs(a[__i]) >= INF / 2 and a[__i] <= -INF / 2) cerr << '-'; \
if (abs(a[__i]) >= INF / 2) cerr << "∞" << sp; \
else \
cerr << a[__i]; \
} \
cerr << "]" << rt; \
}
// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)
// Stream
#define fout(n) cout << fixed << setprecision(n)
struct io {
io() { cin.tie(nullptr), ios::sync_with_stdio(false); }
} io;
///*
// Speed
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunknown-pragmas"
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target( \
"sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native,arch=skylake-avx512")
#pragma GCC diagnostic pop
//*/
// Math
inline constexpr ll gcd(const ll a, const ll b) { return b ? gcd(b, a % b) : a; }
inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; }
inline constexpr ll modulo(const ll n, const ll m = MOD) {
ll k = n % m;
return k + m * (k < 0);
}
inline constexpr ll chmod(ll &n, const ll m = MOD) {
n %= m;
return n += m * (n < 0);
}
inline constexpr ll mpow(ll a, ll n, const ll m = MOD) {
ll r = 1;
rep(i, 64) {
if (n & (1LL << i)) r *= a;
chmod(r, m);
a *= a;
chmod(a, m);
}
return r;
}
inline ll inv(const ll n, const ll m = MOD) {
ll a = n, b = m, x = 1, y = 0;
while (b) {
ll t = a / b;
a -= t * b;
swap(a, b);
x -= t * y;
swap(x, y);
}
return modulo(x, m);
}
#pragma endregion
const ll mo = 1e9 + 7;
struct mint {
ll x;
mint(ll x = 0) : x((x % mo + mo) % mo) {}
mint operator-() const { return mint(-x); }
mint &operator+=(const mint &a) {
if ((x += a.x) >= mo) x -= mo;
return *this;
}
mint &operator-=(const mint &a) {
if ((x += mo - a.x) >= mo) x -= mo;
return *this;
}
mint &operator*=(const mint &a) {
(x *= a.x) %= mo;
return *this;
}
mint operator+(const mint &a) const { return mint(*this) += a; }
mint operator-(const mint &a) const { return mint(*this) -= a; }
mint operator*(const mint &a) const { return mint(*this) *= a; }
bool operator==(const mint &a) const { return x == a.x; }
bool operator!=(const mint &a) const { return x != a.x; }
bool operator<=(const mint &a) { return x <= a.x; }
bool operator<(const mint &a) { return x < a.x; }
friend ll abs(const mint &a) { return a.x; }
friend mint pow(const mint &a, ll n) {
if (!n) return 1;
mint b = pow(a, n >> 1);
b *= b;
if (n & 1) b *= a;
return b;
}
mint inv() const { return pow(*this, mo - 2); }
mint &operator/=(mint a) { return (*this) *= a.inv(); }
mint operator/(mint a) const { return mint(*this) /= a; }
friend istream &operator>>(istream &is, mint &a) {
ll t;
is >> t;
a = mint(t);
return is;
}
friend ostream &operator<<(ostream &os, mint a) {
os << a.x;
return os;
}
};
mint operator""_M(const ull n) { return mint(n); }
struct modmath {
vector<mint> fac, inv;
modmath(ll n = 1 << 20) : fac(n + 1), inv(n + 1) {
fac[0] = 1;
rep(i, n) fac[i + 1] = fac[i] * (i + 1);
inv[n] = fac[n].inv();
dec(i, n - 1, 0) inv[i] = inv[i + 1] * (i + 1);
}
mint F(ll n) {
if (n < 0) return 0;
return fac[n];
}
mint P(ll n, ll r) {
if (r < 0 || n < r || n < 0) return 0;
return fac[n] * inv[n - r];
}
mint C(ll n, ll r) {
if (r < 0 || n < r || n < 0) return 0;
return fac[n] * inv[r] * inv[n - r];
}
mint c(ll n) {
if (n < 0) return 0;
return fac[2 * n] * inv[n] * inv[n + 1];
}
mint H(ll n, ll r) { return C(n + r - 1, n - 1); }
} math;
signed main() {
ll N, K;
cin >> N >> K;
mint sum = mint(K) * mint(K + 1) / 2, r = 1, res = 0;
inc(i, 0, N - 1) {
res += r * math.C(N, i) * pow(mint(K), N - i);
r *= sum;
}
cout << res << rt;
}