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97
Luogu/P4774/P4774.cpp
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Luogu/P4774/P4774.cpp
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#include <iostream>
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#include <set>
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#include <tuple>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e5 + 5;
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int t, n, m;
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long long max;
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std::tuple<long long, long long, int, int> dragon[N];
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std::multiset<long long> set;
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long long exgcd(long long a, long long b, long long& x, long long& y) {
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if (!b) {
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x = 1, y = 0;
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return a;
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}
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long long g = exgcd(b, a % b, y, x);
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y -= a / b * x;
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return g;
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}
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long long excrt() {
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long long res = 0, lcm = 1;
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for (int i = 1; i <= n; i++) {
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long long a = (__int128)(std::get<3>(dragon[i])) * lcm % std::get<1>(dragon[i]),
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b = std::get<1>(dragon[i]),
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c = (__int128)(std::get<0>(dragon[i]) - std::get<3>(dragon[i]) * res % b + b) % b,
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x, y;
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long long g = exgcd(a, b, x, y);
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x = (x % b + b) % b;
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if (c % g) return -1;
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res += (__int128)(c / g) * x % (b / g) * lcm % (lcm * (b / g));
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lcm *= b / g;
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res %= lcm;
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}
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if (res < max) res += ((max - res - 1) / lcm + 1) * lcm;
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return res;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> t;
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while (t--) {
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max = 0;
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set.clear();
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cin >> n >> m;
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for (int i = 1; i <= n; i++) {
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cin >> std::get<0>(dragon[i]);
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}
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for (int i = 1; i <= n; i++) {
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cin >> std::get<1>(dragon[i]);
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}
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for (int i = 1; i <= n; i++) {
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cin >> std::get<2>(dragon[i]);
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}
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for (int i = 1, x; i <= m; i++) {
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cin >> x;
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set.insert(x);
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}
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for (int i = 1; i <= n; i++) {
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auto it = set.upper_bound(std::get<0>(dragon[i]));
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if (it != set.begin()) it--;
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std::get<3>(dragon[i]) = *it;
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set.insert(std::get<2>(dragon[i]));
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max = std::max(max, (std::get<0>(dragon[i]) - 1) / *it + 1);
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set.erase(it);
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}
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cout << excrt() << endl;
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}
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return 0;
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}
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