#795298 (C++17) No.2066 Simple Math !

提出ソース

結果

問題	No.2066 Simple Math !
ユーザー	siganai
提出日時	2022-09-03 19:02:10
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	198 ms / 2,000 ms
コード長	5,970 bytes
コンパイル時間	2,424 ms
コンパイル使用メモリ	201,600 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-04-28 16:26:08
合計ジャッジ時間	7,781 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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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 6,812 KB
testcase_01	AC	15 ms 6,944 KB
testcase_02	AC	22 ms 6,940 KB
testcase_03	AC	26 ms 6,944 KB
testcase_04	AC	180 ms 6,940 KB
testcase_05	AC	188 ms 6,940 KB
testcase_06	AC	183 ms 6,940 KB
testcase_07	AC	185 ms 6,940 KB
testcase_08	AC	177 ms 6,944 KB
testcase_09	AC	178 ms 6,940 KB
testcase_10	AC	181 ms 6,944 KB
testcase_11	AC	182 ms 6,940 KB
testcase_12	AC	188 ms 6,944 KB
testcase_13	AC	198 ms 6,940 KB
testcase_14	AC	177 ms 6,944 KB
testcase_15	AC	184 ms 6,944 KB
testcase_16	AC	183 ms 6,940 KB
testcase_17	AC	177 ms 6,940 KB
testcase_18	AC	177 ms 6,944 KB
testcase_19	AC	82 ms 6,944 KB
testcase_20	AC	81 ms 6,940 KB
testcase_21	AC	80 ms 6,940 KB
testcase_22	AC	79 ms 6,940 KB
testcase_23	AC	81 ms 6,944 KB
testcase_24	AC	124 ms 6,944 KB
testcase_25	AC	121 ms 6,940 KB
testcase_26	AC	125 ms 6,940 KB
testcase_27	AC	122 ms 6,944 KB
testcase_28	AC	120 ms 6,940 KB
testcase_29	AC	40 ms 6,944 KB
testcase_30	AC	38 ms 6,944 KB
testcase_31	AC	28 ms 6,940 KB

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ソースコード

raw source code

//#pragma GCC target("avx")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#ifdef LOCAL
#  include <debug.hpp>
#  define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define debug(...) (static_cast<void>(0))
#endif
//#include "atcoder/maxflow.hpp"
using namespace std;
//using namespace atcoder;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i) , end(i)
#define all2(i,a) begin(i) , begin(i) + a
#define all3(i,a,b) begin(i) + a , begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template<class T> auto max(const T& a){ return *max_element(all(a)); }
template<class... Ts> void in(Ts&... t);
#define elif else if
#define vec(type,name,...) vector<type> name(__VA_ARGS__)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
ll GCD(ll a,ll b) { if(a % b == 0) return b; else return GCD(b,a%b);}
ll LCM(ll a,ll b) { return a / GCD(a,b) * b;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{
    setting(){
        cin.tie(nullptr); ios::sync_with_stdio(false);
        fixed(cout); cout.precision(12);
    }
} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){
    in(get<idx>(t)...);
}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){
    ituple(t, make_index_sequence<tuple_size<T>::value>{});
}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
constexpr int mod = 1000000007;
//constexpr int mod = 998244353;
static const double PI = 3.1415926535897932;
template <class F> struct REC {
    F f;
    REC(F &&f_) : f(forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }
};
unsigned long long floor_sum_unsigned(unsigned long long n,
                                      unsigned long long m,
                                      unsigned long long a,
                                      unsigned long long b) {
    unsigned long long ans = 0;
    while (true) {
        if (a >= m) {
            ans += n * (n - 1) / 2 * (a / m);
            a %= m;
        }
        if (b >= m) {
            ans += n * (b / m);
            b %= m;
        }

        unsigned long long y_max = a * n + b;
        if (y_max < m) break;
        // y_max < m * (n + 1)
        // floor(y_max / m) <= n
        n = (unsigned long long)(y_max / m);
        b = (unsigned long long)(y_max % m);
        swap(m, a);
    }
    return ans;
}

long long floor_sum(long long n, long long m, long long a, long long b) {
    assert(0 <= n && n < (1LL << 32));
    assert(1 <= m && m < (1LL << 32));
    unsigned long long ans = 0;
    if (a < 0) {
        unsigned long long a2 = ((a % m) + m) % m;
        ans -= 1ULL * n * (n - 1) / 2 * ((a2 - a) / m);
        a = a2;
    }
    if (b < 0) {
        unsigned long long b2 = ((b % m) + m) % m;
        ans -= 1ULL * n * ((b2 - b) / m);
        b = b2;
    }
    return ans + floor_sum_unsigned(n, m, a, b);
}



int is_ok(ll N,int k,int p,int q,ll nlc) {
    ll na = min(nlc,N/p+1);
    ll cnt = floor_sum(na,q,-p,N) + na - 1;
    return cnt >= k;
}
int main() {
    INT(TT);
    while(TT--) {
        INT(p,q,k);
        ll lc = LCM(p,q);
        ll nlc = lc / p;
        debug(nlc);
        ll ok = 1LL * min(p,q) * k;
        ll ng = 0;
        while(ok - ng > 1) {
            ll mid = (ok + ng) / 2;
            if(is_ok(mid,k,p,q,nlc)) ok = mid;
            else ng = mid;
        }
        cout << ok << '\n';
    }
}

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結果

テストケース

ソースコード