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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#307138 | #8033. Fast Mod | hos_lyric | AC ✓ | 707ms | 3860kb | C++14 | 4.5kb | 2024-01-18 00:57:03 | 2024-01-18 00:57:03 |
Judging History
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
////////////////////////////////////////////////////////////////////////////////
// Barrett
struct ModInt {
static unsigned M;
static unsigned long long NEG_INV_M;
static void setM(unsigned m) { M = m; NEG_INV_M = -1ULL / M; }
unsigned x;
ModInt() : x(0U) {}
ModInt(unsigned x_) : x(x_ % M) {}
ModInt(unsigned long long x_) : x(x_ % M) {}
ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) {
const unsigned long long y = static_cast<unsigned long long>(x) * a.x;
const unsigned long long q = static_cast<unsigned long long>((static_cast<unsigned __int128>(NEG_INV_M) * y) >> 64);
const unsigned long long r = y - M * q;
x = r - M * (r >= M);
return *this;
}
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
unsigned ModInt::M;
unsigned long long ModInt::NEG_INV_M;
// !!!Use ModInt::setM!!!
////////////////////////////////////////////////////////////////////////////////
using Mint = ModInt;
int main() {
Mint A, B, X0, Y0, X1, Y1;
int N, M;
for (; ~scanf("%u%u%u%u%u%u%d%d", &A.x, &B.x, &X0.x, &Y0.x, &X1.x, &Y1.x, &N, &M); ) {
Mint::setM(M);
Mint ans = 0;
Mint x2 = X0, x1 = X1;
Mint y2 = Y0, y1 = Y1;
for (int n = 2; n <= N; ++n) {
const Mint x = A * x1 + x2 * y1;
const Mint y = B * y1 + y2 * x1;
ans += x;
x2 = x1; x1 = x;
y2 = y1; y1 = y;
}
printf("%u\n", ans.x);
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3764kb
input:
114 514 1919 810 2024 112 154 12345678
output:
10095098
result:
ok answer is '10095098'
Test #2:
score: 0
Accepted
time: 71ms
memory: 3844kb
input:
299441828 557975370 185825413 389867512 789055585 702427833 10000000 998244353
output:
213479368
result:
ok answer is '213479368'
Test #3:
score: 0
Accepted
time: 212ms
memory: 3860kb
input:
201640599 316730877 236731096 870547384 321803723 818638005 30000000 998244353
output:
184315876
result:
ok answer is '184315876'
Test #4:
score: 0
Accepted
time: 705ms
memory: 3856kb
input:
454295813 797560957 820671325 549131050 200870107 596997226 100000000 998244353
output:
571671285
result:
ok answer is '571671285'
Test #5:
score: 0
Accepted
time: 707ms
memory: 3848kb
input:
568746783 797268245 962129329 543463404 966124052 703429023 100000000 999999999
output:
890564628
result:
ok answer is '890564628'
Test #6:
score: 0
Accepted
time: 705ms
memory: 3784kb
input:
134942359 726105292 765855056 658375599 203861321 577278130 100000000 1000000000
output:
837667109
result:
ok answer is '837667109'
Test #7:
score: 0
Accepted
time: 705ms
memory: 3848kb
input:
241497218 519623971 533438442 343085870 157943693 105603836 100000000 999999996
output:
122500520
result:
ok answer is '122500520'
Extra Test:
score: 0
Extra Test Passed