QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#289280 | #7863. Parity Game | ucup-team112# | WA | 3ms | 3508kb | C++20 | 13.5kb | 2023-12-23 16:39:35 | 2023-12-23 16:39:36 |
Judging History
answer
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
namespace templates {
// type
using ll = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on
// const value
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
const double PI = acos(-1);
// other macro
#ifndef RIN__LOCAL
// #define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)
// function
vector<char> stoc(string &S) {
int n = S.size();
vector<char> ret(n);
for (int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
string ctos(vector<char> &S) {
int n = S.size();
string ret = "";
for (int i = 0; i < n; i++) ret += S[i];
return ret;
}
template <class T>
auto min(const T &a) {
return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
auto b = clamp(a, l, r);
return (a != b ? a = b, 1 : 0);
}
template <typename T>
T sum(vector<T> &A) {
T tot = 0;
for (auto a : A) tot += a;
return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
sort(all(X));
X.erase(unique(all(X)), X.end());
return X;
}
// input and output
namespace io {
// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << ' ';
}
return os;
}
// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
is >> A.first >> A.second;
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
os << A.first << ' ' << A.second;
return os;
}
// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
is >> A[i];
}
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// tuple
template <typename T, size_t N>
struct TuplePrint {
static ostream &print(ostream &os, const T &t) {
TuplePrint<T, N - 1>::print(os, t);
os << ' ' << get<N - 1>(t);
return os;
}
};
template <typename T>
struct TuplePrint<T, 1> {
static ostream &print(ostream &os, const T &t) {
os << get<0>(t);
return os;
}
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
return os;
}
// io functions
void FLUSH() {
cout << flush;
}
void print() {
cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(std::forward<Tail>(tail)...);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << sep;
}
cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
cout << A << end;
}
template <typename T>
void prispa(T A) {
priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
if (f)
print(A);
else
print(B);
return f;
}
template <class... T>
void inp(T &...a) {
(cin >> ... >> a);
}
} // namespace io
using namespace io;
// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<int>> edges(n, vector<int>());
for (int i = 0; i < m; i++) {
INT(u, v);
u -= indexed;
v -= indexed;
edges[u].push_back(v);
if (!direct) edges[v].push_back(u);
}
return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
return read_edges(n, n - 1, false, indexed);
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
for (int i = 0; i < m; i++) {
INT(u, v);
T w;
inp(w);
u -= indexed;
v -= indexed;
edges[u].push_back({v, w});
if (!direct) edges[v].push_back({u, w});
}
return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
return read_wedges<T>(n, n - 1, false, indexed);
}
// yes / no
namespace yesno {
// yes
inline bool yes(bool f = true) {
cout << (f ? "yes" : "no") << endl;
return f;
}
inline bool Yes(bool f = true) {
cout << (f ? "Yes" : "No") << endl;
return f;
}
inline bool YES(bool f = true) {
cout << (f ? "YES" : "NO") << endl;
return f;
}
// no
inline bool no(bool f = true) {
cout << (!f ? "yes" : "no") << endl;
return f;
}
inline bool No(bool f = true) {
cout << (!f ? "Yes" : "No") << endl;
return f;
}
inline bool NO(bool f = true) {
cout << (!f ? "YES" : "NO") << endl;
return f;
}
// possible
inline bool possible(bool f = true) {
cout << (f ? "possible" : "impossible") << endl;
return f;
}
inline bool Possible(bool f = true) {
cout << (f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool POSSIBLE(bool f = true) {
cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// impossible
inline bool impossible(bool f = true) {
cout << (!f ? "possible" : "impossible") << endl;
return f;
}
inline bool Impossible(bool f = true) {
cout << (!f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool IMPOSSIBLE(bool f = true) {
cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// Alice Bob
inline bool Alice(bool f = true) {
cout << (f ? "Alice" : "Bob") << endl;
return f;
}
inline bool Bob(bool f = true) {
cout << (f ? "Bob" : "Alice") << endl;
return f;
}
// Takahashi Aoki
inline bool Takahashi(bool f = true) {
cout << (f ? "Takahashi" : "Aoki") << endl;
return f;
}
inline bool Aoki(bool f = true) {
cout << (f ? "Aoki" : "Takahashi") << endl;
return f;
}
} // namespace yesno
using namespace yesno;
} // namespace templates
using namespace templates;
void solve() {
LL(n, t);
VEC(ll, A, n);
auto f = [&](int p, char s) {
p--;
if (s == '+') {
A[p] = (A[p] + A[p + 1]) % 2;
} else {
A[p] = (A[p] * A[p + 1]) % 2;
}
fori(i, p + 1, len(A) - 1) {
A[i] = A[i + 1];
}
A.pop_back();
#ifdef RIN__LOCAL
print("A:", A);
#endif
};
int p;
char s;
if (n % 2 == 0 and t % 2 == 0) {
print("Alice");
while (len(A) > 2) {
print(1, '+');
f(1, '+');
inp(p, s);
f(p, s);
}
if (A[0] + A[1] == 1) {
print(1, '*');
f(1, '*');
} else {
print(1, '+');
f(1, '+');
}
return;
} else if (n % 2 == 1 and t % 2 == 1) {
print("Bob");
inp(p, s);
f(p, s);
while (len(A) > 2) {
print(1, '+');
f(1, '+');
inp(p, s);
f(p, s);
}
if (A[0] + A[1] == 1) {
print(1, '*');
f(1, '*');
} else {
print(1, '+');
f(1, '+');
}
return;
}
auto f1 = [&]() -> int {
for (int i = 0; i < len(A) - 1; i++) {
if (A[i] == 1 and A[i + 1] == 1) {
return i;
}
}
for (int i = 0; i < len(A) - 1; i++) {
if (A[i] == 1 or A[i + 1] == 1) {
return i;
}
}
return 0;
};
auto f2 = [&]() -> int {
if (A[0] == 0) {
return 0;
} else if (A.back() == 0) {
return len(A) - 2;
}
for (int i = 0; i < len(A) - 1; i++) {
if (A[i] == 0 and A[i + 1] == 0) {
return i;
}
}
for (int i = 0; i < len(A) - 1; i++) {
if (A[i] == 0 or A[i + 1] == 0) {
return i;
}
}
return -1;
};
if (n % 2 == 0) {
auto B = A;
bool t = true;
while (len(A) >= 3) {
if (t) {
int p = f2() + 1;
if (p == 0) {
f(1, '*');
} else {
f(p, '+');
}
} else {
f(f1() + 1, '*');
}
t = !t;
}
bool win = (A[0] == 1 or A[1] == 1);
A = B;
if (win) {
print("Alice");
while (len(A) >= 3) {
p = f2() + 1;
if (p == 0) {
print(1, '*');
f(1, '*');
} else {
print(p, '+');
f(p, '+');
}
inp(p, s);
f(p, s);
}
if (A[0] + A[1] == 2) {
print(1, '*');
f(1, '*');
} else {
print(1, '+');
f(1, '+');
}
} else {
print("Bob");
inp(p, s);
f(p, s);
while (len(A) >= 3) {
p = f1() + 1;
print(p, '*');
f(p, '*');
inp(p, s);
f(p, s);
}
}
} else {
auto B = A;
bool t = false;
while (len(A) >= 3) {
if (t) {
int p = f2() + 1;
if (p == 0) {
f(1, '*');
} else {
f(p, '+');
}
} else {
f(f1() + 1, '*');
}
t = !t;
}
bool win = (A[0] == 1 or A[1] == 1);
A = B;
if (win) {
print("Bob");
inp(p, s);
f(p, s);
while (len(A) >= 3) {
p = f2() + 1;
if (p == 0) {
print(1, '*');
f(1, '*');
} else {
print(p, '+');
f(p, '+');
}
inp(p, s);
f(p, s);
}
if (A[0] + A[1] == 2) {
print(1, '*');
f(1, '*');
} else {
print(1, '+');
f(1, '+');
}
} else {
print("Alice");
while (len(A) >= 3) {
p = f1() + 1;
print(p, '*');
f(p, '*');
inp(p, s);
f(p, s);
}
}
}
}
int main() {
// cin.tie(0)->sync_with_stdio(0);
// cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while (t--) solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3488kb
input:
4 1 0 1 0 1 1 * 1
output:
Alice 1 + 1 +
result:
ok The player wins!
Test #2:
score: 0
Accepted
time: 0ms
memory: 3472kb
input:
4 0 1 0 1 0 1 * 1
output:
Alice 1 + 1 *
result:
ok The player wins!
Test #3:
score: 0
Accepted
time: 0ms
memory: 3504kb
input:
5 1 1 1 1 0 0 4 + 1 + 1
output:
Bob 1 + 1 *
result:
ok The player wins!
Test #4:
score: 0
Accepted
time: 1ms
memory: 3508kb
input:
3 0 1 1 1 1 + 1
output:
Bob 1 +
result:
ok The player wins!
Test #5:
score: 0
Accepted
time: 1ms
memory: 3500kb
input:
3 1 1 0 1 1 * 1
output:
Bob 1 *
result:
ok The player wins!
Test #6:
score: 0
Accepted
time: 0ms
memory: 3436kb
input:
3 0 1 0 1 1 * 1
output:
Bob 1 +
result:
ok The player wins!
Test #7:
score: 0
Accepted
time: 1ms
memory: 3488kb
input:
2 1 0 1 1
output:
Alice 1 +
result:
ok The player wins!
Test #8:
score: -100
Wrong Answer
time: 3ms
memory: 3432kb
input:
499 0 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 ...
output:
Bob 1 + 1 + 1 + 1 + 489 + 2 + 4 + 8 + 10 + 10 + 12 + 12 + 14 + 18 + 18 + 18 + 18 + 20 + 20 + 22 + 22 + 24 + 24 + 24 + 26 + 26 + 26 + 26 + 28 + 28 + 28 + 30 + 30 + 32 + 34 + 36 + 38 + 38 + 46 + 46 + 46 + 46 + 46 + 50 + 52 + 52 + 52 + 56 + 56 + 56 + 58 + 58 + 60 + 64 + 66 + 68 + 68 + 70 + 72 + 74 + 74...
result:
wrong answer The interactor wins!