結果

問題 No.2104 Multiply-Add
ユーザー rniyarniya
提出日時 2022-10-21 21:46:32
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 7,300 bytes
コンパイル時間 2,317 ms
コンパイル使用メモリ 207,000 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-01 06:22:27
合計ジャッジ時間 3,878 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
01_ AC * 3
other AC * 32
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#define LOCAL
#include <bits/stdc++.h>
using namespace std;
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(), (x).end()
template <typename T> istream& operator>>(istream& is, vector<T>& v) {
for (T& x : v) is >> x;
return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
for (size_t i = 0; i < v.size(); i++) {
os << v[i] << (i + 1 == v.size() ? "" : " ");
}
return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) {
os << '(' << p.first << ',' << p.second << ')';
return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& m) {
os << '{';
for (auto itr = m.begin(); itr != m.end();) {
os << '(' << itr->first << ',' << itr->second << ')';
if (++itr != m.end()) os << ',';
}
os << '}';
return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const unordered_map<T, U>& m) {
os << '{';
for (auto itr = m.begin(); itr != m.end();) {
os << '(' << itr->first << ',' << itr->second << ')';
if (++itr != m.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const set<T>& s) {
os << '{';
for (auto itr = s.begin(); itr != s.end();) {
os << *itr;
if (++itr != s.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const multiset<T>& s) {
os << '{';
for (auto itr = s.begin(); itr != s.end();) {
os << *itr;
if (++itr != s.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const unordered_set<T>& s) {
os << '{';
for (auto itr = s.begin(); itr != s.end();) {
os << *itr;
if (++itr != s.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const deque<T>& v) {
for (size_t i = 0; i < v.size(); i++) {
os << v[i] << (i + 1 == v.size() ? "" : " ");
}
return os;
}
template <typename T, size_t N> ostream& operator<<(ostream& os, const array<T, N>& v) {
for (size_t i = 0; i < N; i++) {
os << v[i] << (i + 1 == N ? "" : " ");
}
return os;
}
template <int i, typename T> void print_tuple(ostream&, const T&) {}
template <int i, typename T, typename H, class... Args> void print_tuple(ostream& os, const T& t) {
if (i) os << ',';
os << get<i>(t);
print_tuple<i + 1, T, Args...>(os, t);
}
template <typename... Args> ostream& operator<<(ostream& os, const tuple<Args...>& t) {
os << '{';
print_tuple<0, tuple<Args...>, Args...>(os, t);
return os << '}';
}
void debug_out() { cerr << '\n'; }
template <class Head, class... Tail> void debug_out(Head&& head, Tail&&... tail) {
cerr << head;
if (sizeof...(Tail) > 0) cerr << ", ";
debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) \
cerr << " "; \
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \
cerr << " "; \
debug_out(__VA_ARGS__)
#else
#define debug(...) void(0)
#endif
template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }
int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(long long t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }
long long MSK(int n) { return (1LL << n) - 1; }
template <class T> T ceil(T x, T y) {
assert(y >= 1);
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <class T> T floor(T x, T y) {
assert(y >= 1);
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template <typename T> void mkuni(vector<T>& v) {
sort(v.begin(), v.end());
v.erase(unique(v.begin(), v.end()), v.end());
}
template <typename T> int lwb(const vector<T>& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); }
#pragma endregion
const int INF = 1e9;
const long long IINF = 1e18;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const char dir[4] = {'D', 'R', 'U', 'L'};
const long long MOD = 1000000007;
// const long long MOD = 998244353;
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
ll a, b, c, d;
cin >> a >> b >> c >> d;
if (gcd(abs(a), abs(b)) != gcd(abs(c), abs(d))) {
cout << -1 << '\n';
return 0;
}
if (a == 0 and b == 0) {
assert(c == 0 and d == 0);
cout << 0 << '\n';
return 0;
}
ll x = a, y = b;
vector<pair<int, int>> ans;
auto op = [&](int t, int k) {
if (t == 1)
x += 1LL * k * y;
else
y += 1LL * k * x;
ans.emplace_back(t, k);
};
auto ngswap = [&](int t) { // t = 1 : (x, y) -> (y, -x), t = 2 ; (x, y) -> (-y, x)
op(t, 1); // (x + y, y)
op(3 - t, -1); // (x + y, -x)
op(t, 1); // (y, -x)
};
if (x < 0) {
ngswap(1);
if (x < 0) ngswap(1);
} else if (y < 0)
ngswap(2);
assert(x >= 0 and y >= 0);
while (x > 0 and y > 0) {
if (x > y)
op(1, -(x / y));
else
op(2, -(y / x));
}
ll z = c, w = d;
vector<pair<int, int>> ans2;
auto op2 = [&](int t, int k) {
if (t == 1)
z += 1LL * k * w;
else
w += 1LL * k * z;
ans2.emplace_back(t, k);
};
auto ngswap2 = [&](int t) { // t = 1 : (x, y) -> (y, -x), t = 2 ; (x, y) -> (-y, x)
op2(t, 1); // (x + y, y)
op2(3 - t, -1); // (x + y, -x)
op2(t, 1); // (y, -x)
};
if (z < 0) {
ngswap2(1);
if (z < 0) ngswap2(1);
} else if (w < 0)
ngswap2(2);
assert(z >= 0 and w >= 0);
while (z > 0 and w > 0) {
if (z > w)
op2(1, -(z / w));
else
op2(2, -(w / z));
};
if (x != z) {
if (x > 0) {
op(2, 1);
op(1, -1);
} else {
op(1, 1);
op(2, -1);
}
}
reverse(ans2.begin(), ans2.end());
for (auto& p : ans2) op(p.first, -p.second);
assert(x == c and y == d);
cout << ans.size() << '\n';
for (auto& p : ans) cout << p.first << ' ' << p.second << '\n';
return 0;
}
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