結果

問題 No.1999 Lattice Teleportation
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
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ソースコード

diff #
プレゼンテーションモードにする

#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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