結果
| 問題 | No.42 貯金箱の溜息 |
| ユーザー |
 satanic
|
| 提出日時 | 2020-08-26 20:15:37 |
| 言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 6 ms / 5,000 ms |
| コード長 | 13,297 bytes |
| コンパイル時間 | 1,373 ms |
| コンパイル使用メモリ | 122,416 KB |
| 実行使用メモリ | 5,248 KB |
| 最終ジャッジ日時 | 2024-11-07 13:35:05 |
| 合計ジャッジ時間 | 1,782 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 | 4 ms
5,248 KB |
| testcase_01 | AC | 5 ms
5,248 KB |
| testcase_02 | AC | 6 ms
5,248 KB |
ソースコード
//
// S i r o t a n w a t c h e s o v e r y o u .
//
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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 <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("b.in");
//auto& scan_in = ifs;
auto& scan_in = std::cin;
// 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) { std::cout << t; }
template<typename First, typename...Rest>void MACRO_OUT(const First first, const Rest...rest) { std::cout << first << " "; MACRO_OUT(rest...); }
#define OUT(...) MACRO_OUT(__VA_ARGS__);
#define FOUT(n, dist) std::cout<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) std::cout<<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 std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(w, n) std::cout<<(w + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<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 T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; }
template<class T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
// 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()) ? ", " : ""); os << "}";
return os;
}
template<typename T>
std::ostream & operator<<(std::ostream & os, const std::set<T> & v) {
os << "{";
for (auto it = v.cbegin();;) {
os << *it; ++it;
if (it == v.cend()) { os << "}"; break; }
else { os << ", "; }
}
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() ? "" : ", "); } os << "}";
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 = std::int_fast64_t;
using u64 = std::uint_fast64_t;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = (1 << 30) - 1; // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60; // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18
constexpr double EPS = 1e-6;
constexpr i64 MOD = 1000000009;
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---------
i64 C(i64 n) {
ll ans = 591666672;
n %= MOD;
for (int i = 0; i < 5; ++i) (ans *= n - i) %= MOD;
if (ans < 0) ans += MOD;
return ans;
}
int P[] = { 1, 2, 4, 6, 9, 12, 16, 20, 25, 30, 37, 44, 53, 62, 73, 84, 97, 110, 125, 140, 159, 178, 201, 224, 251, 278, 309, 340, 375, 410, 451, 492, 539, 586, 639, 692, 751, 810, 875, 940, 1014, 1088, 1171, 1254, 1346, 1438, 1539, 1640, 1750, 1860, 1982, 2104, 2238, 2372, 2518, 2664, 2822, 2980, 3150, 3320, 3506, 3692, 3894, 4096, 4314, 4532, 4766, 5000, 5250, 5500, 5770, 6040, 6330, 6620, 6930, 7240, 7570, 7900, 8250, 8600, 8975, 9350, 9750, 10150, 10575, 11000, 11450, 11900, 12375, 12850, 13355, 13860, 14395, 14930, 15495, 16060, 16655, 17250, 17875, 18500, 19156, 19812, 20499, 21186, 21904, 22622, 23371, 24120, 24900, 25680, 26492, 27304, 28148, 28992, 29868, 30744, 31652, 32560, 33500, 34440, 35409, 36378, 37376, 38374, 39401, 40428, 41484, 42540, 43625, 44710, 45821, 46932, 48069, 49206, 50369, 51532, 52721, 53910, 55125, 56340, 57574, 58808, 60061, 61314, 62586, 63858, 65149, 66440, 67750, 69060, 70382, 71704, 73038, 74372, 75718, 77064, 78422, 79780, 81150, 82520, 83891, 85262, 86634, 88006, 89379, 90752, 92126, 93500, 94875, 96250, 97615, 98980, 100335, 101690, 103035, 104380, 105715, 107050, 108375, 109700, 111000, 112300, 113575, 114850, 116100, 117350, 118575, 119800, 121000, 122200, 123360, 124520, 125640, 126760, 127840, 128920, 129960, 131000, 132000, 133000, 133951, 134902, 135804, 136706, 137559, 138412, 139216, 140020, 140775, 141530, 142227, 142924, 143563, 144202, 144783, 145364, 145887, 146410, 146875, 147340, 147744, 148148, 148491, 148834, 149116, 149398, 149619, 149840, 150000, 150160, 150256, 150352, 150384, 150416, 150384, 150352, 150256, 150160, 150000, 149840, 149619, 149398, 149116, 148834, 148491, 148148, 147744, 147340, 146875, 146410, 145887, 145364, 144783, 144202, 143563, 142924, 142227, 141530, 140775, 140020, 139216, 138412, 137559, 136706, 135804, 134902, 133951, 133000, 132000, 131000, 129960, 128920, 127840, 126760, 125640, 124520, 123360, 122200, 121000, 119800, 118575, 117350, 116100, 114850, 113575, 112300, 111000, 109700, 108375, 107050, 105715, 104380, 103035, 101690, 100335, 98980, 97615, 96250, 94875, 93500, 92126, 90752, 89379, 88006, 86634, 85262, 83891, 82520, 81150, 79780, 78422, 77064, 75718, 74372, 73038, 71704, 70382, 69060, 67750, 66440, 65149, 63858, 62586, 61314, 60061, 58808, 57574, 56340, 55125, 53910, 52721, 51532, 50369, 49206, 48069, 46932, 45821, 44710, 43625, 42540, 41484, 40428, 39401, 38374, 37376, 36378, 35409, 34440, 33500, 32560, 31652, 30744, 29868, 28992, 28148, 27304, 26492, 25680, 24900, 24120, 23371, 22622, 21904, 21186, 20499, 19812, 19156, 18500, 17875, 17250, 16655, 16060, 15495, 14930, 14395, 13860, 13355, 12850, 12375, 11900, 11450, 11000, 10575, 10150, 9750, 9350, 8975, 8600, 8250, 7900, 7570, 7240, 6930, 6620, 6330, 6040, 5770, 5500, 5250, 5000, 4766, 4532, 4314, 4096, 3894, 3692, 3506, 3320, 3150, 2980, 2822, 2664, 2518, 2372, 2238, 2104, 1982, 1860, 1750, 1640, 1539, 1438, 1346, 1254, 1171, 1088, 1014, 940, 875, 810, 751, 692, 639, 586, 539, 492, 451, 410, 375, 340, 309, 278, 251, 224, 201, 178, 159, 140, 125, 110, 97, 84, 73, 62, 53, 44, 37, 30, 25, 20, 16, 12, 9, 6, 4, 2, 1 };
signed main() {
INIT;
auto Q = [&](i64 m) {
return C(m / 100 + 5);
};
VAR(int, T);
REP(_, T) {
VAR(i64, m); m /= 5;
i64 ans = 0;
i64 lim = std::max((i64)0, m - 466);
for (i64 k = m / 100 * 100; k >= lim; k -= 100) (ans += P[m - k] * Q(k)) %= MOD;
OUT(ans)BR;
}
return 0;
}