QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#744459 | #9537. Chinese Chess | maspy | TL | 17ms | 4228kb | C++23 | 17.2kb | 2024-11-13 21:59:36 | 2024-11-13 21:59:38 |
Judging History
answer
#line 1 "/home/maspy/compro/library/my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("Ofast,unroll-loops")
// いまの CF だとこれ入れると動かない?
// #pragma GCC target("avx2,popcnt")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using i128 = __int128;
using u128 = unsigned __int128;
using f128 = __float128;
template <class T>
constexpr T infty = 0;
template <>
constexpr int infty<int> = 1'010'000'000;
template <>
constexpr ll infty<ll> = 2'020'000'000'000'000'000;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * 2'000'000'000'000'000'000;
template <>
constexpr double infty<double> = infty<ll>;
template <>
constexpr long double infty<long double> = infty<ll>;
using pi = pair<ll, ll>;
using vi = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define FOR_subset(t, s) for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s)))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define stoi stoll
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
int popcnt_sgn(int x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
int popcnt_sgn(u32 x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
int popcnt_sgn(ll x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
int popcnt_sgn(u64 x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T>
T floor(T a, T b) {
return a / b - (a % b && (a ^ b) < 0);
}
template <typename T>
T ceil(T x, T y) {
return floor(x + y - 1, y);
}
template <typename T>
T bmod(T x, T y) {
return x - y * floor(x, y);
}
template <typename T>
pair<T, T> divmod(T x, T y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sm = 0;
for (auto &&a: A) sm += a;
return sm;
}
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()
template <typename T>
T POP(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T POP(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(pqg<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(vc<T> &que) {
T a = que.back();
que.pop_back();
return a;
}
template <typename F>
ll binary_search(F check, ll ok, ll ng, bool check_ok = true) {
if (check_ok) assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
(check(x) ? ok : ng) = x;
}
return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
FOR(iter) {
double x = (ok + ng) / 2;
(check(x) ? ok : ng) = x;
}
return (ok + ng) / 2;
}
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);
}
// ? は -1
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); }
return A;
}
template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) { B[i + 1] = B[i] + A[i]; }
if (off == 0) B.erase(B.begin());
return B;
}
// stable sort
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(len(A));
iota(all(ids), 0);
sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
vc<T> B(len(I));
FOR(i, len(I)) B[i] = A[I[i]];
return B;
}
template <typename T, typename... Vectors>
void concat(vc<T> &first, const Vectors &... others) {
vc<T> &res = first;
(res.insert(res.end(), others.begin(), others.end()), ...);
}
#endif
#line 1 "/home/maspy/compro/library/other/io2.hpp"
#define INT(...) \
int __VA_ARGS__; \
IN(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
IN(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
IN(__VA_ARGS__)
#define CHR(...) \
char __VA_ARGS__; \
IN(__VA_ARGS__)
#define DBL(...) \
long double __VA_ARGS__; \
IN(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
read(name)
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
read(name)
void read(int &a) { cin >> a; }
void read(long long &a) { cin >> a; }
void read(char &a) { cin >> a; }
void read(double &a) { cin >> a; }
void read(long double &a) { cin >> a; }
void read(string &a) { cin >> a; }
template <class T, class S>
void read(pair<T, S> &p) {
read(p.first), read(p.second);
}
template <class T>
void read(vector<T> &a) {
for (auto &i: a) read(i);
}
template <class T>
void read(T &a) {
cin >> a;
}
void IN() {}
template <class Head, class... Tail>
void IN(Head &head, Tail &... tail) {
read(head);
IN(tail...);
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &A) {
os << A.fi << " " << A.se;
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &A) {
for (size_t i = 0; i < A.size(); i++) {
if (i) os << " ";
os << A[i];
}
return os;
}
// chatgpt helped me
class CoutInitializer {
public:
CoutInitializer() { std::cout << std::fixed << std::setprecision(15); }
};
static CoutInitializer cout_initializer;
void print() {
cout << "\n";
cout.flush();
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
cout << head;
if (sizeof...(Tail)) cout << " ";
print(forward<Tail>(tail)...);
}
void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 3 "main.cpp"
#line 2 "/home/maspy/compro/library/graph/base.hpp"
template <typename T>
struct Edge {
int frm, to;
T cost;
int id;
};
template <typename T = int, bool directed = false>
struct Graph {
static constexpr bool is_directed = directed;
int N, M;
using cost_type = T;
using edge_type = Edge<T>;
vector<edge_type> edges;
vector<int> indptr;
vector<edge_type> csr_edges;
vc<int> vc_deg, vc_indeg, vc_outdeg;
bool prepared;
class OutgoingEdges {
public:
OutgoingEdges(const Graph* G, int l, int r) : G(G), l(l), r(r) {}
const edge_type* begin() const {
if (l == r) { return 0; }
return &G->csr_edges[l];
}
const edge_type* end() const {
if (l == r) { return 0; }
return &G->csr_edges[r];
}
private:
const Graph* G;
int l, r;
};
bool is_prepared() { return prepared; }
Graph() : N(0), M(0), prepared(0) {}
Graph(int N) : N(N), M(0), prepared(0) {}
void build(int n) {
N = n, M = 0;
prepared = 0;
edges.clear();
indptr.clear();
csr_edges.clear();
vc_deg.clear();
vc_indeg.clear();
vc_outdeg.clear();
}
void add(int frm, int to, T cost = 1, int i = -1) {
assert(!prepared);
assert(0 <= frm && 0 <= to && to < N);
if (i == -1) i = M;
auto e = edge_type({frm, to, cost, i});
edges.eb(e);
++M;
}
#ifdef FASTIO
// wt, off
void read_tree(bool wt = false, int off = 1) { read_graph(N - 1, wt, off); }
void read_graph(int M, bool wt = false, int off = 1) {
for (int m = 0; m < M; ++m) {
INT(a, b);
a -= off, b -= off;
if (!wt) {
add(a, b);
} else {
T c;
read(c);
add(a, b, c);
}
}
build();
}
#endif
void build() {
assert(!prepared);
prepared = true;
indptr.assign(N + 1, 0);
for (auto&& e: edges) {
indptr[e.frm + 1]++;
if (!directed) indptr[e.to + 1]++;
}
for (int v = 0; v < N; ++v) { indptr[v + 1] += indptr[v]; }
auto counter = indptr;
csr_edges.resize(indptr.back() + 1);
for (auto&& e: edges) {
csr_edges[counter[e.frm]++] = e;
if (!directed)
csr_edges[counter[e.to]++] = edge_type({e.to, e.frm, e.cost, e.id});
}
}
OutgoingEdges operator[](int v) const {
assert(prepared);
return {this, indptr[v], indptr[v + 1]};
}
vc<int> deg_array() {
if (vc_deg.empty()) calc_deg();
return vc_deg;
}
pair<vc<int>, vc<int>> deg_array_inout() {
if (vc_indeg.empty()) calc_deg_inout();
return {vc_indeg, vc_outdeg};
}
int deg(int v) {
if (vc_deg.empty()) calc_deg();
return vc_deg[v];
}
int in_deg(int v) {
if (vc_indeg.empty()) calc_deg_inout();
return vc_indeg[v];
}
int out_deg(int v) {
if (vc_outdeg.empty()) calc_deg_inout();
return vc_outdeg[v];
}
#ifdef FASTIO
void debug() {
print("Graph");
if (!prepared) {
print("frm to cost id");
for (auto&& e: edges) print(e.frm, e.to, e.cost, e.id);
} else {
print("indptr", indptr);
print("frm to cost id");
FOR(v, N) for (auto&& e: (*this)[v]) print(e.frm, e.to, e.cost, e.id);
}
}
#endif
vc<int> new_idx;
vc<bool> used_e;
// G における頂点 V[i] が、新しいグラフで i になるようにする
// {G, es}
// sum(deg(v)) の計算量になっていて、
// 新しいグラフの n+m より大きい可能性があるので注意
Graph<T, directed> rearrange(vc<int> V, bool keep_eid = 0) {
if (len(new_idx) != N) new_idx.assign(N, -1);
int n = len(V);
FOR(i, n) new_idx[V[i]] = i;
Graph<T, directed> G(n);
vc<int> history;
FOR(i, n) {
for (auto&& e: (*this)[V[i]]) {
if (len(used_e) <= e.id) used_e.resize(e.id + 1);
if (used_e[e.id]) continue;
int a = e.frm, b = e.to;
if (new_idx[a] != -1 && new_idx[b] != -1) {
history.eb(e.id);
used_e[e.id] = 1;
int eid = (keep_eid ? e.id : -1);
G.add(new_idx[a], new_idx[b], e.cost, eid);
}
}
}
FOR(i, n) new_idx[V[i]] = -1;
for (auto&& eid: history) used_e[eid] = 0;
G.build();
return G;
}
Graph<T, true> to_directed_tree(int root = -1) {
if (root == -1) root = 0;
assert(!is_directed && prepared && M == N - 1);
Graph<T, true> G1(N);
vc<int> par(N, -1);
auto dfs = [&](auto& dfs, int v) -> void {
for (auto& e: (*this)[v]) {
if (e.to == par[v]) continue;
par[e.to] = v, dfs(dfs, e.to);
}
};
dfs(dfs, root);
for (auto& e: edges) {
int a = e.frm, b = e.to;
if (par[a] == b) swap(a, b);
assert(par[b] == a);
G1.add(a, b, e.cost);
}
G1.build();
return G1;
}
private:
void calc_deg() {
assert(vc_deg.empty());
vc_deg.resize(N);
for (auto&& e: edges) vc_deg[e.frm]++, vc_deg[e.to]++;
}
void calc_deg_inout() {
assert(vc_indeg.empty());
vc_indeg.resize(N);
vc_outdeg.resize(N);
for (auto&& e: edges) { vc_indeg[e.to]++, vc_outdeg[e.frm]++; }
}
};
#line 3 "/home/maspy/compro/library/graph/shortest_path/warshall_floyd.hpp"
// 負辺があっても負閉路がなければ正しく動作する。
// 負閉路があるかどうかは、dist[v][v] < 0 となる v があるかどうかで判定。
template <typename T, typename GT>
vc<vc<T>> warshall_floyd(GT& G) {
ll N = G.N;
vv(T, dist, N, N, infty<T>);
FOR(v, N) {
dist[v][v] = 0;
for (auto&& e: G[v]) chmin(dist[v][e.to], e.cost);
}
FOR(k, N) FOR(i, N) {
if (dist[i][k] == infty<T>) continue;
FOR(j, N) {
if (dist[k][j] == infty<T>) continue;
chmin(dist[i][j], dist[i][k] + dist[k][j]);
}
}
return dist;
}
#line 5 "main.cpp"
int dist[6][90][90];
// 質問, return -> u128
// 質問 = [0,90), return = int
map<int, array<u128, 6>> MASK[90];
int idx(int x, int y) { return 9 * x + y; }
void init() {
FOR(t, 6) {
Graph<int, 1> G(90);
FOR(a, 10) FOR(b, 9) {
FOR(c, 10) FOR(d, 9) {
bool ok = 0;
if (t == 0) { ok = (abs(a - c) + abs(b - d) == 1); }
if (t == 1) { ok = (abs(a - c) == 1 && abs(b - d) == 1); }
if (t == 2) { ok = (a == c || b == d); }
if (t == 3) {
ll dx = a - c, dy = b - d;
ok = (dx * dx + dy * dy == 5);
}
if (t == 4) { ok = (abs(a - c) == 2 && abs(b - d) == 2); }
if (t == 5) {
if (a <= 4) {
ok = (c == a + 1 && b == d);
} else {
ok = ok | (c == a + 1 && b == d);
ok = ok | (c == a && d == b - 1);
ok = ok | (c == a && d == b + 1);
}
}
if (ok) G.add(idx(a, b), idx(c, d), 1);
}
}
G.build();
auto mat = warshall_floyd<int>(G);
FOR(x, 90) FOR(y, 90) {
int d = mat[x][y];
if (d == infty<int>) d = -1;
dist[t][x][y] = d;
}
}
FOR(x, 90) {
FOR(k, -1, 91) {
array<u128, 6> A{};
FOR(t, 6) FOR(y, 90) {
if (dist[t][y][x] == k) A[t] |= u128(1) << y;
}
if (A[0] + A[1] + A[2] + A[3] + A[4] + A[5] == 0) continue;
MASK[x][k] = A;
}
}
}
using T = array<u128, 6>;
// worst case ques time, question
pair<int, int> F(array<u128, 6> A, int lim) {
if (lim == 0) return {0, 0};
static map<T, pair<int, int>> MP;
if (MP.count(A)) return MP[A];
int now = 0;
FOR(i, 6) { now += A[i] > 0; }
if (now <= 1) return {0, 0};
if (lim == 0) return {infty<int>, 0};
int ans = lim;
int ask = 0;
FOR(x, 90) {
int worst = 0;
for (auto& [resp, mask]: MASK[x]) {
array<u128, 6> nxt{};
FOR(i, 6) nxt[i] = A[i] & mask[i];
chmax(worst, F(nxt, lim - 1).fi);
}
if (chmin(ans, worst + 1)) ask = x, lim = ans;
}
return MP[A] = {ans, ask};
}
void solve() {
INT(N);
array<u128, 6> A{};
FOR(N) {
INT(x, y);
x = idx(x, y);
FOR(t, 6) A[t] |= u128(1) << x;
}
auto [ans, ask] = F(A, 3);
print(ans);
while (ans > 0) {
int x = ask;
auto [a, b] = divmod(x, 9);
print("?", a, b);
INT(k);
auto mask = MASK[x][k];
FOR(t, 6) A[t] &= mask[t];
tie(ans, ask) = F(A, 3);
}
string S = "JSCMXB";
FOR(t, 6) if (A[t] != 0) {
print("!", S[t]);
return;
}
}
signed main() {
init();
solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 6ms
memory: 4228kb
input:
1 9 0 8
output:
1 ? 1 8 ! S
result:
ok number is guessed.
Test #2:
score: 0
Accepted
time: 8ms
memory: 3940kb
input:
4 2 1 2 3 2 5 2 7 5 1
output:
2 ? 0 0 ? 0 6 ! M
result:
ok number is guessed.
Test #3:
score: 0
Accepted
time: 6ms
memory: 3972kb
input:
1 2 4 -1 1
output:
2 ? 0 0 ? 0 2 ! X
result:
ok number is guessed.
Test #4:
score: 0
Accepted
time: 4ms
memory: 4032kb
input:
1 5 0 6
output:
1 ? 3 6 ! S
result:
ok number is guessed.
Test #5:
score: 0
Accepted
time: 5ms
memory: 3992kb
input:
1 6 0 6
output:
1 ? 0 2 ! S
result:
ok number is guessed.
Test #6:
score: 0
Accepted
time: 7ms
memory: 4044kb
input:
2 7 7 1 0 -1 6
output:
2 ? 0 0 ? 7 2 ! S
result:
ok number is guessed.
Test #7:
score: 0
Accepted
time: 10ms
memory: 4088kb
input:
5 8 6 1 3 0 5 2 4 0 2 6 3
output:
2 ? 0 0 ? 0 3 ! J
result:
ok number is guessed.
Test #8:
score: 0
Accepted
time: 8ms
memory: 4040kb
input:
6 0 7 1 6 2 8 0 5 7 6 8 2 -1 14
output:
2 ? 0 0 ? 8 1 ! B
result:
ok number is guessed.
Test #9:
score: 0
Accepted
time: 7ms
memory: 4040kb
input:
7 6 5 3 0 3 2 4 1 4 0 2 4 5 2 5 7
output:
2 ? 0 0 ? 0 4 ! J
result:
ok number is guessed.
Test #10:
score: 0
Accepted
time: 15ms
memory: 4116kb
input:
8 3 3 2 5 6 2 7 4 1 4 3 0 2 4 3 4 7 -1
output:
2 ? 0 1 ? 0 0 ! S
result:
ok number is guessed.
Test #11:
score: 0
Accepted
time: 17ms
memory: 4104kb
input:
9 2 7 2 4 2 5 2 2 2 1 2 0 2 6 2 3 2 8 6 8
output:
2 ? 2 0 ? 0 0 ! J
result:
ok number is guessed.
Test #12:
score: -100
Time Limit Exceeded
input:
10 4 0 0 0 5 0 7 0 8 0 1 0 6 0 9 0 2 0 3 0 -1 2
output:
2 ? 1 0 ? 0 0 ? 0 0