185362025-10-26 12:15:55ubormaciJárdakövezéscpp17Wrong answer 0/751ms568 KiB
#include <iostream>
#include <algorithm> // for sort, mainly
#include <vector>
#include <map>
#include <set>
#include <cmath>
#include <array>
#include <string>
#include <cstdio>
#include <iterator>
#include <unordered_set>
#include <cstdint> // for int64_t, int32_t, etc
#include <queue>
#include <stack>
#include <deque>
#include <numeric> // gcd, lcm
#include <fstream>
#include <bitset> // for bitset
#include <iomanip>
#include <cassert> // for set with custom ordering
#include <type_traits> // for set with custom ordering
#include <utility> // for swap, forward, etc
using namespace std;

#pragma GCC optimize("O2")
// #pragma GCC optimize("O1","O2","O3","Ofast","unroll-loops")
// #pragma GCC target("sse","sse2","sse3","sse4.1","sse4.2","avx","avx2","fma")

template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << '}'; }
void dbg_out() { cout << endl; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cout << ' ' << H; dbg_out(T...); }
#ifdef LOCAL
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

/*

notes:

int64_t
stoi(string s) -> string to int
to_string() -> int (or else) to string

vector declaration:
vector<ll> v(n, 0)
vector<vector<ll>> v(n, vector<ll>(n, 0));

{if statement} ? {truth value} : {false value}

#ifdef LOCAL
    freopen("in.txt","r",stdin);
    freopen("out.txt","w",stdout);
#endif

std::lcm(ll a, ll b), std::gcd(int a, int b)

cout << fixed << setprecision(n);

set with custom ordering
set<ll, decltype(&cmp)> qu(cmp);

*/

typedef int64_t ll;

ll extendedeuclid(ll a, ll b, ll &x, ll &y) {

	if(b == 0) {
		x = 1;
		y = 0;
		return a;
	}

	ll x1, y1;
	ll d = extendedeuclid(b, a % b, x1, y1);
	x = y1;
	y = x1 - y1 * (a / b);
	return d;
}	

pair<ll,ll> solve1(ll h, ll a, ll b) {

	// a * x + b * y = c
	// oldest problem in the book
	// and I'm still shit at it but let's not get so hasty

	// szoval
	// standard extended euclidean algorithm megoldja a * x + b * y = gcd(x, y)
	// es erre ad egy a, b erteket
	// ha c mod gcd = 0, akkor egyszeruen vesszik c / g es beszorozzuk vele az x/y-t

	ll g = gcd(a, b);
	if(h % g != 0) {
		return {0, 0};
	}

	ll x0, y0;
	extendedeuclid(a, b, x0, y0);
	x0 *= h / g;
	y0 *= h / g;

	ll k = 0;
	while(1) {

		ll x = x0 + k * (b/g);
		ll y = y0 - k * (a/g);

		if(x >= 0 && y >= 0) {
			return {x, y};
		}
		k++;
	}

	return {0, 0};
}


pair<ll,ll> solve2(ll h, ll a, ll b) {

	// a * x + b * y = c
	// oldest problem in the book
	// and I'm still shit at it but let's not get so hasty

	// szoval
	// standard extended euclidean algorithm megoldja a * x + b * y = gcd(x, y)
	// es erre ad egy a, b erteket
	// ha c mod gcd = 0, akkor egyszeruen vesszik c / g es beszorozzuk vele az x/y-t

	ll g = gcd(a, b);
	if(h % g != 0) {
		return {0, 0};
	}

	ll x0, y0;
	extendedeuclid(a, b, x0, y0);
	x0 *= h / g;
	y0 *= h / g;

	if(x0 >= 0 && y0 >= 0) {
		return {x0, y0};
	}

	// x = x0 + k * (b/g)
	// y = y0 - k * (a/g)

	/*
	if(x0 < 0 && y0 >= 0) {

		// tehat maximalisan noveljuk az x-et
		// vagyis y-t a leheto legkisebbig levisszuk
		//  y = y0 - k * (a/g)
		// y0 = k * (a/g)
		// k = (y0) / (a/g)

		ll k = y0 / (a/g);

		ll x = x0 + k * (b/g);
		ll y = y0 - k * (a/g);

		return {x, y};
	}

	if(x0 >= 0 && y0 < 0) {

		// x = x0 + k * (b/g)
		// x0 = -k * (b/g)
		// k = -x0 / (b/g)

		ll k = -x0 / (b/g);

		ll x = x0 + k * (b/g);
		ll y = y0 - k * (a/g);

		return {x, y};

	}
	*/

	// x > 0
	// x0 + k * (b/g) > 0
	// k * (b/g) > -x0
	// k > -x0 / (b/g)
	
	// y0 > 0
	// y0 - k * (a/g) > 0
	// -k * (a/g) > -y0
	// k < y0 / (a/g)

	ll kmin = -x0 / (b/g);
	ll kmax = y0 / (a/g);
 
	//cerr << "\nkmin=" << kmin;
	//cerr << "\nkmax=" << kmax;

	if(kmin <= kmax) {
		return {x0 + kmax * (b/g), y0 - kmax * (a/g)};
	}

	return {0, 0};
}

int main()
{
	std::ios_base::sync_with_stdio(false);
	//cin.tie(nullptr);
	//cout.tie(nullptr);

	/*
	for(ll h = 1; h <= 10; h++) {
		for(ll a = 1; a <= 10; a++) {
			for(ll b = 1; b <= 10; b++) {

				cerr << "\n" << h << " " << a << " " << b;

				auto ans1 = solve1(h, a, b);
				auto ans2 = solve2(h, a, b);

				if(ans1 != ans2) {
					cout << "\nPROBLEM " << ans1 << " " << ans2;
				}

			}
		}
	}
	*/

	ll h, a, b;
	cin >> h >> a >> b;

	auto ans = solve2(h, a, b);

	cout << ans.first << " " << ans.second; 	

	return 0;
}
SubtaskSumTestVerdictTimeMemory
subtask10/0
1Accepted1ms316 KiB
subtask20/12
2Wrong answer1ms316 KiB
3Accepted1ms316 KiB
4Accepted1ms316 KiB
5Accepted1ms316 KiB
6Accepted1ms316 KiB
7Accepted1ms316 KiB
8Accepted1ms316 KiB
9Accepted1ms316 KiB
10Wrong answer1ms316 KiB
11Accepted1ms316 KiB
12Wrong answer1ms316 KiB
13Wrong answer1ms316 KiB
subtask30/12
14Wrong answer1ms316 KiB
15Accepted1ms316 KiB
16Wrong answer1ms316 KiB
17Accepted1ms316 KiB
18Accepted1ms384 KiB
19Wrong answer1ms508 KiB
20Accepted1ms316 KiB
21Wrong answer1ms316 KiB
22Accepted1ms316 KiB
23Accepted1ms316 KiB
24Accepted1ms316 KiB
25Accepted1ms316 KiB
subtask40/24
26Wrong answer1ms500 KiB
27Accepted1ms316 KiB
28Accepted1ms508 KiB
29Wrong answer1ms316 KiB
30Accepted1ms524 KiB
31Accepted1ms568 KiB
32Accepted1ms316 KiB
33Wrong answer1ms508 KiB
34Wrong answer1ms348 KiB
35Wrong answer1ms412 KiB
36Accepted1ms316 KiB
37Wrong answer1ms316 KiB
38Wrong answer1ms316 KiB
39Wrong answer1ms316 KiB
40Accepted1ms316 KiB
41Wrong answer1ms508 KiB
42Wrong answer1ms316 KiB
43Accepted1ms316 KiB
44Accepted1ms552 KiB
45Accepted1ms508 KiB
46Wrong answer1ms316 KiB
47Accepted1ms508 KiB
48Accepted1ms316 KiB
49Accepted1ms316 KiB
subtask50/27
50Wrong answer1ms508 KiB
51Accepted1ms388 KiB
52Accepted1ms328 KiB
53Accepted1ms316 KiB
54Accepted1ms316 KiB
55Accepted1ms316 KiB
56Accepted1ms316 KiB
57Wrong answer1ms316 KiB
58Accepted1ms316 KiB
59Accepted1ms316 KiB
60Accepted1ms316 KiB
61Accepted1ms508 KiB
62Accepted1ms316 KiB
63Accepted1ms316 KiB
64Accepted1ms316 KiB
65Accepted1ms316 KiB
66Accepted1ms316 KiB
67Wrong answer1ms316 KiB
68Wrong answer1ms316 KiB
69Wrong answer1ms316 KiB
70Wrong answer1ms316 KiB
71Wrong answer1ms500 KiB
72Accepted1ms320 KiB
73Accepted1ms316 KiB
74Accepted1ms316 KiB
75Accepted1ms316 KiB
76Accepted1ms316 KiB