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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#487252 | #7679. Master of Both IV | yaoy | WA | 29ms | 5436kb | C++20 | 5.8kb | 2024-07-22 19:19:59 | 2024-07-22 19:20:00 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
template<class T>
constexpr T power(T a, i64 b) {
T res {1};
for (; b; b /= 2, a *= a) {
if (b % 2) {
res *= a;
}
}
return res;
}
constexpr i64 mul(i64 a, i64 b, i64 p) {
i64 res = a * b - i64(1.L * a * b / p) * p;
res %= p;
if (res < 0) {
res += p;
}
return res;
}
template<i64 P>
struct MInt {
i64 x;
constexpr MInt() : x {0} {}
constexpr MInt(i64 x) : x {norm(x % getMod())} {}
static i64 Mod;
constexpr static i64 getMod() {
if (P > 0) {
return P;
} else {
return Mod;
}
}
static void setMod(i64 Mod_) {
Mod = Mod_;
}
constexpr i64 norm(i64 x) const {
if (x < 0) {
x += getMod();
}
if (x >= getMod()) {
x -= getMod();
}
return x;
}
constexpr i64 val() const {
return x;
}
constexpr MInt operator-() const {
MInt res;
res.x = norm(getMod() - x);
return res;
}
constexpr MInt inv() const {
return power(*this, getMod() - 2);
}
constexpr MInt &operator*=(MInt rhs) & {
if (getMod() < (1ULL << 31)) {
x = x * rhs.x % int(getMod());
} else {
x = mul(x, rhs.x, getMod());
}
return *this;
}
constexpr MInt &operator+=(MInt rhs) & {
x = norm(x + rhs.x);
return *this;
}
constexpr MInt &operator-=(MInt rhs) & {
x = norm(x - rhs.x);
return *this;
}
constexpr MInt &operator/=(MInt rhs) & {
return *this *= rhs.inv();
}
friend constexpr MInt operator*(MInt lhs, MInt rhs) {
MInt res = lhs;
res *= rhs;
return res;
}
friend constexpr MInt operator+(MInt lhs, MInt rhs) {
MInt res = lhs;
res += rhs;
return res;
}
friend constexpr MInt operator-(MInt lhs, MInt rhs) {
MInt res = lhs;
res -= rhs;
return res;
}
friend constexpr MInt operator/(MInt lhs, MInt rhs) {
MInt res = lhs;
res /= rhs;
return res;
}
friend constexpr std::istream &operator>>(std::istream &is, MInt &a) {
i64 v;
is >> v;
a = MInt(v);
return is;
}
friend constexpr std::ostream &operator<<(std::ostream &os, const MInt &a) {
return os << a.val();
}
friend constexpr bool operator==(MInt lhs, MInt rhs) {
return lhs.val() == rhs.val();
}
friend constexpr bool operator!=(MInt lhs, MInt rhs) {
return lhs.val() != rhs.val();
}
friend constexpr bool operator<(MInt lhs, MInt rhs) {
return lhs.val() < rhs.val();
}
};
template<>
i64 MInt<0>::Mod = 998244353;
constexpr int P = 998244353;
using Mint = MInt<P>;
const int B = 16 + 1;
struct LinearBasis {
int ex, m;
std::vector<i64> bit, b;
LinearBasis() {
std::vector<i64> t;
init(t);
}
template<class T>
LinearBasis(std::vector<T> &a) {
init(a);
}
template<class T>
void init(std::vector<T> &a) {
this->ex = 0;
bit.assign(B, 0);
for (auto &x : a) {
if (!insert(x)) {
this->ex++;
}
}
// build();
}
void build() {
b.clear();
for (int i = 0; i < B; i++) {
if (!bit[i]) {
continue;
}
b.emplace_back(bit[i]);
}
this->m = b.size();
}
bool insert(i64 x) {
for (int i = B - 1; i >= 0; i--) {
if (x >> i & 1) {
if (!bit[i]) {
bit[i] = x;
// build();
return true;
} else {
x ^= bit[i];
}
}
}
return false;
}
i64 queryMin(i64 x) {
for (int i = B - 1; i >= 0; i--) {
x = std::min(x, bit[i] ^ x);
}
return x;
}
i64 queryMax(i64 x) {
for (int i = B - 1; i >= 0; i--) {
x = std::max(x, bit[i] ^ x);
}
return x;
}
i64 kth(i64 k) { // the kth smallest element in set
// multiset: k >> this->ex
if (this->ex > 0) {
k--;
}
if (k > (1LL << m) - 1) {
return -1;
}
i64 x = 0;
for (int i = m - 1; i >= 0; i--) {
if (k >> i & 1) {
x = std::max(x, x ^ b[i]);
} else {
x = std::min(x, x ^ b[i]);
}
}
return x;
}
};
const int N = 2E5 + 1;
Mint pw[N];
void solve() {
int n;
std::cin >> n;
std::vector<int> a(n);
for (int i = 0; i < n; i++) {
std::cin >> a[i];
}
LinearBasis L0(a);
std::vector<int> cnt(n + 1);
for (int i = 0; i < n; i++) {
cnt[a[i]]++;
}
Mint ans = pw[L0.ex] - 1;
std::sort(a.begin(), a.end());
a.erase(std::unique(a.begin(), a.end()), a.end());
const int m = a.size();
const int mx = a.back();
std::vector<LinearBasis> L(mx + 1);
for (auto &x : a) {
for (int j = x; j <= mx; j += x) {
L[j].insert(x);
L[j].ex += (cnt[x] - 1);
}
}
for (auto &x : a) {
ans += pw[L[x].ex];
}
std::cout << ans << "\n";
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
pw[0] = 1;
for (int i = 1; i < N; i++) {
pw[i] = pw[i - 1] * 2;
}
int t;
std::cin >> t;
while (t--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 2ms
memory: 5064kb
input:
2 3 1 2 3 5 3 3 5 1 1
output:
4 11
result:
ok 2 number(s): "4 11"
Test #2:
score: 0
Accepted
time: 28ms
memory: 5436kb
input:
40000 5 4 2 5 5 5 5 5 5 5 5 4 5 1 4 4 4 2 5 2 5 2 4 1 5 3 2 4 5 3 5 1 5 5 3 4 5 5 5 5 4 3 5 4 3 3 5 1 5 4 5 5 2 1 5 2 5 4 2 5 5 3 4 3 4 3 5 5 3 5 1 3 5 5 1 2 4 4 5 4 2 5 1 5 5 5 4 2 5 4 5 5 2 5 2 4 5 1 4 5 4 5 5 4 2 3 2 3 5 1 4 1 3 5 5 1 1 2 1 5 5 5 2 5 1 3 5 3 1 2 5 3 5 5 5 1 1 5 5 2 2 2 1 3 5 3 1 ...
output:
9 16 9 9 8 8 9 8 8 9 13 8 8 8 8 9 12 9 11 15 8 8 17 13 8 11 8 8 8 13 15 9 9 8 8 8 11 9 11 13 15 9 17 9 8 8 8 13 11 8 9 11 8 8 11 15 9 8 9 8 8 15 11 8 17 9 15 8 8 8 12 9 9 11 8 13 9 8 15 8 8 9 8 8 8 15 8 11 13 8 9 11 8 19 11 13 19 17 13 15 8 8 8 9 8 9 13 15 17 9 9 17 9 11 9 9 11 9 9 11 8 9 9 13 15 11...
result:
ok 40000 numbers
Test #3:
score: -100
Wrong Answer
time: 29ms
memory: 5132kb
input:
20000 10 1 3 6 8 3 1 10 7 2 3 10 8 2 8 9 10 5 8 4 8 3 10 2 2 10 1 6 4 4 3 4 7 10 6 5 10 7 8 7 3 1 6 6 10 3 2 3 7 8 4 9 8 8 7 10 9 9 6 4 9 3 9 10 5 9 10 10 8 9 10 10 4 5 1 4 3 10 2 10 4 5 8 10 2 2 7 2 10 2 6 4 10 1 1 1 1 2 3 10 1 10 2 8 1 5 9 4 3 1 10 8 1 8 1 9 5 6 7 2 9 10 1 6 7 4 8 8 7 3 5 7 10 10 ...
output:
89 77 80 74 75 84 75 105 143 95 81 74 78 73 73 73 83 93 90 84 79 77 73 89 77 73 81 79 80 175 83 77 83 76 83 85 84 97 74 80 101 74 113 74 75 95 75 83 86 77 99 73 77 83 91 96 77 80 77 76 80 81 73 95 83 74 75 81 77 79 74 76 78 81 97 77 85 73 92 83 73 80 73 77 74 73 142 83 99 78 91 77 76 81 77 74 78 76 ...
result:
wrong answer 1st numbers differ - expected: '97', found: '89'