結果

問題 No.1999 Lattice Teleportation
コンテスト
ユーザー cologne
提出日時 2022-03-22 18:25:24
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 30 ms / 2,000 ms
コード長 3,212 bytes
コンパイル時間 1,619 ms
コンパイル使用メモリ 117,648 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-11-15 02:12:13
合計ジャッジ時間 3,327 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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ファイルパターン 結果
sample AC * 4
other AC * 29
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 # 

#pragma GCC optimize("Ofast")
#pragma GCC target("avx2,bmi2,popcnt,lzcnt")

#include <cassert>
#include <cstdio>
#include <cinttypes>
#include <unistd.h>
#include <sys/stat.h>
#include <sys/mman.h>
class strictInput
{
	char *p;
	off_t cur = 0;
	off_t len = 0;

public:
	explicit strictInput(int fd = 0)
	{
		struct stat st;
		fstat(fd, &st);
		p = (char *)mmap(NULL, st.st_size, PROT_READ, MAP_SHARED, fd, 0);
		len = st.st_size;
	}

	char readChar()
	{
		assert(cur != len);
		return p[cur++];
	}

	void unreadChar()
	{
		assert(cur != 0);
		--cur;
	}

	bool isEOF() { return cur == len; }
	void readEOF() { assert(isEOF()); }
	void readSpace() { assert(readChar() == ' '); }
	void readEoln() { assert(readChar() == '\n'); }

	// reads uint64_t in range [from, to]
	uint64_t readU64(uint64_t from = 0, uint64_t to = UINT64_MAX)
	{
		uint64_t cur = 0;
		off_t read_cnt = 0;
		bool leading_zero = false;
		while (!isEOF())
		{
			char p = readChar();
			if (!('0' <= p && p <= '9'))
			{
				unreadChar();
				break;
			}
			uint64_t v = p - '0';
			assert(cur <= UINT64_MAX / 10);
			cur *= 10;
			assert(cur <= UINT64_MAX - v);
			cur += v;
			if (read_cnt == 0 && v == 0)
				leading_zero = true;
			++read_cnt;
		}
		if (cur == 0)
			assert(read_cnt == 1);
		else
			assert(!leading_zero);
		assert(from <= cur && cur <= to);
		return cur;
	}

	// reads int64_t in range [from, to]
	int64_t readI64(int64_t from = INT64_MIN, int64_t to = INT64_MAX)
	{
		uint64_t cur = 0;
		off_t read_cnt = 0;
		bool leading_zero = false;
		bool leading_minus = readChar() == '-';
		if (!leading_minus)
			unreadChar();
		while (!isEOF())
		{
			char p = readChar();
			if (!('0' <= p && p <= '9'))
			{
				unreadChar();
				break;
			}
			uint64_t v = p - '0';
			assert(cur <= UINT64_MAX / 10);
			cur *= 10;
			assert(cur <= UINT64_MAX - v);
			cur += v;
			if (read_cnt == 0 && v == 0)
				leading_zero = true;
			++read_cnt;
		}
		if (cur == 0)
			assert(read_cnt == 1 && !leading_minus);
		else
			assert(!leading_zero);

		if (cur <= INT64_MAX)
		{
			int64_t ret = cur;
			if (leading_minus)
				ret = -ret;
			assert(from <= ret && ret <= to);
			return ret;
		}
		else
		{
			assert(leading_minus && cur == uint64_t(INT64_MIN));
			assert(from == INT64_MIN);
			return INT64_MIN;
		}
	}
};

#include <algorithm>
#include <iostream>
#include <numeric>
#include <tuple>
#include <vector>

using namespace std;

int main()
{
	strictInput Inp;
	int N;
	N = Inp.readI64(1, 100'000);
	Inp.readEoln();
	vector<pair<int, int>> V;
	for (int i = 0; i < N; ++i)
	{
		int a, b;
		a = Inp.readI64(-1'000'000'000, 1'000'000'000);
		Inp.readSpace();
		b = Inp.readI64(-1'000'000'000, 1'000'000'000);
		Inp.readEoln();
		if (a == 0 && b == 0)
			continue;
		if (a < 0)
			a = -a, b = -b;
		V.emplace_back(a, b);
	}
	Inp.readEOF();

	sort(V.begin(), V.end(), [&](auto a, auto b)
		 { return (long long)a.first * b.second > (long long)b.first * a.second; });

	long long x = 0, y = 0;
	__int128 ans = 1;
	for (auto [dx, dy] : V)
	{
		ans += (__int128)x * dy - (__int128)y * dx;
		ans += gcd(dx, dy);
		x += dx;
		y += dy;
	}

	const int MOD = 1'000'000'007;
	int ret = ans % MOD;
	if (ret < 0)
		ret += MOD;

	cout << ret << endl;
}
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