結果
問題 | No.766 金魚すくい |
ユーザー |
|
提出日時 | 2020-01-25 16:44:07 |
言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 78 ms / 1,500 ms |
コード長 | 6,336 bytes |
コンパイル時間 | 1,999 ms |
コンパイル使用メモリ | 179,808 KB |
実行使用メモリ | 10,624 KB |
最終ジャッジ日時 | 2024-09-14 04:08:45 |
合計ジャッジ時間 | 5,240 ms |
ジャッジサーバーID (参考情報) |
judge6 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 42 |
ソースコード
#include <bits/stdc++.h>using namespace std;using ll = long long;using ull = unsigned long long;#define ALL(obj) (obj).begin(),(obj).end()#define SPEED cin.tie(0);ios::sync_with_stdio(false);template<class T> using PQ = priority_queue<T>;template<class T> using PQR = priority_queue<T,vector<T>,greater<T>>;constexpr long long MOD = (long long)1e9 + 7;constexpr long long MOD2 = 998244353;constexpr long long HIGHINF = (long long)1e18;constexpr long long LOWINF = (long long)1e15;constexpr long double PI = 3.1415926535897932384626433;template <class T> vector<T> multivector(size_t N,T init){return vector<T>(N,init);}template <class... T> auto multivector(size_t N,T... t){return vector<decltype(multivector(t...))>(N,multivector(t...));}template <class T> void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}}template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;}template <class T>ostream &operator<<(ostream &o, const set<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}template <class T>ostream &operator<<(ostream &o, const multiset<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "")<< obj[i]; o << "}"; return o;}template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;}void print(void) {cout << endl;}template <class Head> void print(Head&& head) {cout << head;print();}template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward<Tail>(tail)...);}template <class T> void chmax(T& a, const T b){a=max(a,b);}template <class T> void chmin(T& a, const T b){a=min(a,b);}void YN(bool flg) {cout << (flg ? "YES" : "NO") << endl;}void Yn(bool flg) {cout << (flg ? "Yes" : "No") << endl;}void yn(bool flg) {cout << (flg ? "yes" : "no") << endl;}template<long long mod> class ModInt {public:long long x;ModInt():x(0) {// do nothing}ModInt(long long y) : x(y>=0?(y%mod): (mod - (-y)%mod)%mod) {// do nothing}ModInt &operator+=(const ModInt &p) {if((x += p.x) >= mod) x -= mod;return *this;}ModInt &operator+=(const long long y) {ModInt p(y);if((x += p.x) >= mod) x -= mod;return *this;}ModInt &operator+=(const int y) {ModInt p(y);if((x += p.x) >= mod) x -= mod;return *this;}ModInt &operator-=(const ModInt &p) {if((x += mod - p.x) >= mod) x -= mod;return *this;}ModInt &operator-=(const long long y) {ModInt p(y);if((x += mod - p.x) >= mod) x -= mod;return *this;}ModInt &operator-=(const int y) {ModInt p(y);if((x += mod - p.x) >= mod) x -= mod;return *this;}ModInt &operator*=(const ModInt &p) {x = (x * p.x % mod);return *this;}ModInt &operator*=(const long long y) {ModInt p(y);x = (x * p.x % mod);return *this;}ModInt &operator*=(const int y) {ModInt p(y);x = (x * p.x % mod);return *this;}ModInt &operator/=(const ModInt &p) {*this *= p.inv();return *this;}ModInt &operator/=(const long long y) {ModInt p(y);*this *= p.inv();return *this;}ModInt &operator/=(const int y) {ModInt p(y);*this *= p.inv();return *this;}ModInt operator=(const int y) {ModInt p(y);*this = p;return *this;}ModInt operator=(const long long y) {ModInt p(y);*this = p;return *this;}ModInt operator-() const { return ModInt(-x); }ModInt operator++() {x++;if(x>=mod) x-=mod;return *this;}ModInt operator--() {x--;if(x<0) x+=mod;return *this;}ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }bool operator==(const ModInt &p) const { return x == p.x; }bool operator!=(const ModInt &p) const { return x != p.x; }ModInt inv() const {int a = x, b = mod, u = 1, v = 0, t;while(b > 0) {t = a / b;swap(a -= t * b, b);swap(u -= t * v, v);}return ModInt(u);}ModInt pow(long long n) const {ModInt ret(1), mul(x);while(n > 0) {if(n & 1) ret *= mul;mul *= mul;n >>= 1;}return ret;}friend ostream &operator<<(ostream &os, const ModInt &p) {return os << p.x;}friend istream &operator>>(istream &is, ModInt &a) {long long t;is >> t;a = ModInt<mod>(t);return (is);}};using modint = ModInt<MOD>;//Combination Modclass CombinationMod {public:vector<long long> fac,finv,inv;long long mod;CombinationMod(int N,long long mod) : fac(N + 1), finv(N + 1), inv(N + 1), mod(mod) {fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1;for (int i = 2; i <= N; ++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 num(int n, int k) {return ((n < 0 || k < 0 || n < k) ? 0 : fac[n] * (finv[k] * finv[n - k] % mod) % mod);}};//verify https://atcoder.jp/contests/abc021/tasks/abc021_dint main() {int N,M,P; cin >> N >> M >> P;CombinationMod CM(N+M,MOD);modint p = P, q = 100 - P;p /= 100;q /= 100;vector<int> V(N+1,1000000001);vector<modint> C(N+1,0),A(N+1,1),B(M+1,1);for(int i = 0; i < N; ++i) cin >> V[i];sort(ALL(V),greater<>());for(int i = 1; i <= N; ++i) C[i] = V[i];for(int i = 1; i <= N; ++i) C[i] += C[i-1];for(int i = 1; i <= N; ++i) A[i] = A[i-1]*q;for(int i = 1; i <= M; ++i) B[i] = B[i-1]*p;modint ans = 0;for(int i = 1; i < N; ++i) {ans += C[i]*A[i]*B[M]*CM.num(i+M-1,i);}for(int i = 1; i <=M; ++i) {ans += C[N]*A[N]*B[i-1]*CM.num(N+i-2,N-1);}cout << ans << endl;return 0;}