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Luogu/P4105/P4105.cpp
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58
Luogu/P4105/P4105.cpp
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#include <iostream>
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#include <algorithm>
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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 = 5e6 + 5;
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int n, s_a, s_b, s_c, s_d, a[N], b[N], mod, ans;
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inline int f(int x) {
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return (static_cast<long long>(s_a) % mod * x % mod * x % mod * x % mod
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+ static_cast<long long>(s_b) % mod * x % mod * x % mod
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+ static_cast<long long>(s_c) % mod * x % mod
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+ s_d)
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% mod;
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}
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bool check(int x) {
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std::copy_n(a + 1, n, b + 1);
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for (int i = 1; i <= n; i++) {
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b[i] = std::max(b[i - 1], b[i] - x);
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if (std::abs(a[i] - b[i]) > x) return false;
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}
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return true;
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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 >> n >> s_a >> s_b >> s_c >> s_d >> a[1] >> mod;
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for (int i = 2; i <= n; i++) {
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a[i] = (f(a[i - 1]) + f(a[i - 2])) % mod;
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}
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int l = 0, r = mod;
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while (l <= r) {
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int mid = l + r >> 1;
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if (check(mid)) {
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ans = mid;
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r = mid - 1;
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} else {
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l = mid + 1;
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}
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}
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cout << ans << endl;
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return 0;
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}
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