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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#304069 | #8008. Fortune Wheel | ucup-team133# | WA | 20ms | 4248kb | C++23 | 6.4kb | 2024-01-13 13:45:01 | 2024-01-13 13:45:01 |
Judging History
answer
#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif
template <typename T, bool Reduce = false> class Rational {
static T my_gcd(T x_, T y_) {
unsigned long long x = x_ < 0 ? -x_ : x_, y = y_ < 0 ? -y_ : y_;
if (!x or !y) return x + y;
int n = __builtin_ctzll(x), m = __builtin_ctzll(y);
x >>= n, y >>= m;
while (x != y) {
if (x > y)
x = (x - y) >> __builtin_ctzll(x - y);
else
y = (y - x) >> __builtin_ctzll(y - x);
}
return x << (n > m ? m : n);
}
void normalize() {
if (den < 0) num = -num, den = -den;
if (den == 0) num = (num > 0 ? 1 : num < 0 ? -1 : 0);
if constexpr (Reduce) {
T g = my_gcd(num, den);
if (g > 0) num /= g, den /= g;
}
}
public:
T num, den;
Rational() {}
Rational(T num) : num(num), den(T(1)) {}
Rational(T num, T den) : num(num), den(den) { normalize(); }
Rational operator+(const Rational& r) const { return Rational(num * r.den + den * r.num, den * r.den); }
Rational operator-(const Rational& r) const { return Rational(num * r.den - den * r.num, den * r.den); }
Rational operator*(const Rational& r) const { return Rational(num * r.num, den * r.den); }
Rational operator/(const Rational& r) const { return Rational(num * r.den, den * r.num); }
Rational& operator+=(const Rational& r) { return *this = *this + r; }
Rational& operator-=(const Rational& r) { return *this = *this - r; }
Rational& operator*=(const Rational& r) { return *this = *this * r; }
Rational& operator/=(const Rational& r) { return *this = *this / r; }
Rational operator+(const T& val) const { return *this + Rational(val); }
Rational operator-(const T& val) const { return *this - Rational(val); }
Rational operator*(const T& val) const { return *this * Rational(val); }
Rational operator/(const T& val) const { return *this / Rational(val); }
Rational& operator+=(const T& val) { return *this = *this + val; }
Rational& operator-=(const T& val) { return *this = *this - val; }
Rational& operator*=(const T& val) { return *this = *this * val; }
Rational& operator/=(const T& val) { return *this = *this / val; }
friend Rational operator+(const T& val, const Rational& r) { return r + val; }
friend Rational operator-(const T& val, const Rational& r) { return r - val; }
friend Rational operator*(const T& val, const Rational& r) { return r * val; }
friend Rational operator/(const T& val, const Rational& r) { return r / val; }
Rational operator-() const { return Rational(-num, den); }
Rational abs() const { return Rational(num < 0 ? -num : num, den); }
bool operator==(const Rational& r) const {
if (den == 0 and r.den == 0) return num == r.num;
if (den == 0 or r.den == 0) return false;
return num * r.den == den * r.num;
}
bool operator!=(const Rational& r) const { return !(*this == r); }
bool operator<(const Rational& r) const {
if (den == 0 and r.den == 0) return num < r.num;
if (den == 0) return num < 0;
if (r.den == 0) return r.num > 0;
return num * r.den < den * r.num;
}
bool operator<=(const Rational& r) const { return (*this == r) or (*this < r); }
bool operator>(const Rational& r) const { return r < *this; }
bool operator>=(const Rational& r) const { return (*this == r) or (*this > r); }
bool operator==(const T& val) const { return *this == Rational(val); }
bool operator!=(const T& val) const { return *this != Rational(val); }
bool operator<(const T& val) const { return *this < Rational(val); }
bool operator<=(const T& val) const { return *this <= Rational(val); }
bool operator>(const T& val) const { return *this > Rational(val); }
bool operator>=(const T& val) const { return *this >= Rational(val); }
friend bool operator==(const T& val, const Rational& r) { return r == val; }
friend bool operator!=(const T& val, const Rational& r) { return r != val; }
friend bool operator<(const T& val, const Rational& r) { return r > val; }
friend bool operator<=(const T& val, const Rational& r) { return r >= val; }
friend bool operator>(const T& val, const Rational& r) { return r < val; }
friend bool operator>=(const T& val, const Rational& r) { return r <= val; }
explicit operator double() const { return (double)num / (double)den; }
explicit operator long double() const { return (long double)num / (long double)den; }
friend std::ostream& operator<<(std::ostream& os, const Rational& r) { return os << r.num << '/' << r.den; }
};
using namespace std;
typedef long long ll;
#define all(x) begin(x), end(x)
constexpr int INF = (1 << 30) - 1;
constexpr long long IINF = (1LL << 60) - 1;
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
template <class T> istream& operator>>(istream& is, vector<T>& v) {
for (auto& x : v) is >> x;
return is;
}
template <class T> ostream& operator<<(ostream& os, const vector<T>& v) {
auto sep = "";
for (const auto& x : v) os << exchange(sep, " ") << x;
return os;
}
template <class T, class U = T> bool chmin(T& x, U&& y) { return y < x and (x = forward<U>(y), true); }
template <class T, class U = T> bool chmax(T& x, U&& y) { return x < y and (x = forward<U>(y), true); }
template <class T> void mkuni(vector<T>& v) {
sort(begin(v), end(v));
v.erase(unique(begin(v), end(v)), end(v));
}
template <class T> int lwb(const vector<T>& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); }
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, x, K;
cin >> n >> x >> K;
vector<int> k(K);
cin >> k;
vector<int> dp(n, INF);
dp[0] = 0;
queue<int> que;
que.emplace(0);
while (not que.empty()) {
int v = que.front();
que.pop();
for (int& delta : k) {
int nv = (v + n - delta) % n;
if (dp[nv] != INF) continue;
dp[nv] = dp[v] + 1;
que.emplace(nv);
}
}
vector<int> cnt(n, 0);
for (int& val : dp) {
if (val < INF) {
cnt[val]++;
}
}
Rational<ll> ans = dp[x];
for (ll i = 0, sum = 0, ok = 0; i < n; i++) {
sum += 1LL * cnt[i] * i;
ok += cnt[i];
if (ok > 0) chmin(ans, Rational<ll>(n + sum, ok));
}
cout << ans.num << ' ' << ans.den << '\n';
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3432kb
input:
6 3 2 2 4
output:
8 3
result:
ok 2 number(s): "8 3"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3492kb
input:
5 4 1 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #3:
score: 0
Accepted
time: 20ms
memory: 4248kb
input:
99999 65238 100 64714 45675 36156 13116 93455 22785 10977 60219 14981 25839 83709 80404 41400 12469 31530 65521 35436 20326 96792 50699 27522 98233 26187 12509 90992 72693 83919 74145 80892 68422 38333 33497 89154 88403 77492 4570 3908 59194 3482 89871 96330 45114 5555 73987 95832 476 949 74649 2084...
output:
3 1
result:
ok 2 number(s): "3 1"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
10000 23 7 9594 8998 9330 6851 1662 6719 583
output:
42726 4805
result:
ok 2 number(s): "42726 4805"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
100 3 100 7 68 28 98 19 32 90 79 92 40 96 30 95 91 71 15 33 18 69 1 61 43 5 75 73 64 58 100 88 20 99 37 17 22 82 67 70 55 47 80 66 12 4 24 26 54 74 57 21 77 86 89 83 29 46 31 2 16 49 48 25 93 52 9 85 84 42 39 8 65 10 45 63 87 78 60 23 14 34 59 81 38 41 76 3 13 27 36 35 51 44 62 53 94 6 50 11 97 72 56
output:
1 1
result:
ok 2 number(s): "1 1"
Test #6:
score: -100
Wrong Answer
time: 0ms
memory: 3512kb
input:
100 93 4 63 58 3 89
output:
285 60
result:
wrong answer 1st numbers differ - expected: '19', found: '285'