結果
| 問題 |
No.1078 I love Matrix Construction
|
| コンテスト | |
| ユーザー |
 Shuz*
|
| 提出日時 | 2020-07-24 08:15:26 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 500 ms / 2,000 ms |
| コード長 | 8,295 bytes |
| コンパイル時間 | 2,312 ms |
| コンパイル使用メモリ | 182,528 KB |
| 実行使用メモリ | 82,824 KB |
| 最終ジャッジ日時 | 2024-06-24 16:56:26 |
| 合計ジャッジ時間 | 9,244 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 22 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template <class T> using pvector = vector<pair<T, T>>;
template <class T>
using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
constexpr const ll dx[4] = {1, 0, -1, 0};
constexpr const ll dy[4] = {0, 1, 0, -1};
constexpr const ll MOD = 1e9 + 7;
constexpr const ll mod = 998244353;
constexpr const ll INF = 1LL << 60;
constexpr const ll inf = 1 << 30;
constexpr const char rt = '\n';
constexpr const char sp = ' ';
#define rt(i, n) (i == (ll)(n) -1 ? rt : sp)
#define len(x) ((ll)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define ifn(x) if (not(x))
#define elif else if
#define elifn else ifn
#define fi first
#define se second
using graph = vector<vector<ll>>;
template <class T> using wgraph = vector<vector<ll, T>>;
bool __DIRECTED__ = true;
istream &operator>>(istream &is, graph &g) {
ll a, b;
is >> a >> b;
g[a - 1].pb(b - 1);
if (__DIRECTED__ == false) g[b - 1].pb(a - 1);
return is;
}
template <class T> istream &operator>>(istream &is, wgraph<T> &g) {
ll a, b;
T c;
is >> a >> b >> c;
g[a - 1].pb({b - 1, c});
if (__DIRECTED__ == false) g[b - 1].pb({a - 1, c});
return is;
}
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
// Debug
#define debug(...) \
{ \
cerr << __LINE__ << ": " << #__VA_ARGS__ << " = "; \
for (auto &&X : {__VA_ARGS__}) cerr << "[" << X << "] "; \
cerr << rt; \
}
#define dump(a, h, w) \
{ \
cerr << __LINE__ << ": " << #a << " = [" << rt; \
rep(_i, h) { \
rep(_j, w) { \
if (abs(a[_i][_j]) >= INF / 2 and a[_i][_j] <= -INF / 2) \
cerr << '-'; \
if (abs(a[_i][_j]) >= INF / 2) \
cerr << "∞" << sp; \
else \
cerr << a[_i][_j] << sp; \
} \
cerr << rt; \
} \
cerr << "]" << rt; \
}
#define vdump(a, n) \
{ \
cerr << __LINE__ << ": " << #a << " = ["; \
rep(_i, n) { \
if (_i) cerr << sp; \
if (abs(a[_i]) >= INF / 2 and a[_i] <= -INF / 2) cerr << '-'; \
if (abs(a[_i]) >= INF / 2) \
cerr << "∞" << sp; \
else \
cerr << a[_i]; \
} \
cerr << "]" << rt; \
}
// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)
// Stream
#define fout(n) cout << fixed << setprecision(n)
struct io {
io() { cin.tie(nullptr), ios::sync_with_stdio(false); }
} io;
// Speed
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// Math
inline constexpr ll gcd(const ll a, const ll b) {
return b ? gcd(b, a % b) : a;
}
inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; }
inline constexpr ll modulo(const ll n, const ll m = MOD) {
ll k = n % m;
return k + m * (k < 0);
}
inline constexpr ll chmod(ll &n, const ll m = MOD) {
n %= m;
return n += m * (n < 0);
}
inline constexpr ll mpow(ll a, ll n, const ll m = MOD) {
ll r = 1;
rep(i, 64) {
if (n & (1LL << i)) r *= a;
chmod(r, m);
a *= a;
chmod(a, m);
}
return r;
}
inline ll inv(const ll n, const ll m = MOD) {
ll a = n, b = m, x = 1, y = 0;
while (b) {
ll t = a / b;
a -= t * b;
swap(a, b);
x -= t * y;
swap(x, y);
}
return modulo(x, m);
}
struct SCC {
ll num, new_num;
vector<vector<ll>> graph;
vector<vector<ll>> rgraph;
vector<vector<ll>> new_graph;
vector<ll> in_count;
vector<ll> new_in_count;
vector<ll> tp_index;
vector<ll> nodes;
vector<ll> used;
SCC(ll n)
: num(n), graph(n), rgraph(n), in_count(n), tp_index(n), used(n) {}
void add_edge(ll from, ll to) {
graph[from].push_back(to);
rgraph[to].push_back(from);
in_count[to]++;
}
void new_add_edge(ll from, ll to) {
ll f = tp_index[from], t = tp_index[to];
if (f == t) return;
new_graph[f].push_back(t);
new_in_count[t]++;
}
void dfs(ll pos) {
used[pos] = true;
each(i, graph[pos]) if (!used[i]) dfs(i);
nodes.push_back(pos);
}
void rdfs(ll pos, ll k) {
used[pos] = true;
tp_index[pos] = k;
each(i, rgraph[pos]) if (!used[i]) rdfs(i, k);
}
ll scc() {
fill(all(used), false);
nodes.clear();
rep(i, num) if (!used[i]) dfs(i);
reverse(all(nodes));
fill(all(used), false);
ll k = 0;
each(i, nodes) if (!used[i]) rdfs(i, k++);
new_graph.resize(k), new_in_count.resize(k);
build_new_graph();
return new_num = k;
}
void build_new_graph() { rep(i, num) each(j, graph[i]) new_add_edge(i, j); }
};
struct SAT {
ll n;
SCC scc;
vector<bool> result;
SAT(ll n) : n(n), scc(2 * n), result(2 * n) {}
ll inverse(ll x) { return x >= n ? x - n : x + n; }
void addliteral(ll a, ll b, bool a_inv = false, bool b_inv = false) {
if (a_inv) a = inverse(a);
if (b_inv) b = inverse(b);
scc.add_edge(inverse(a), b);
scc.add_edge(inverse(b), a);
}
bool calc() {
scc.scc();
for (ll i = 0; i < n; i++) {
if (scc.tp_index[i] > scc.tp_index[n + i]) {
result[i] = true;
result[n + i] = false;
} else if (scc.tp_index[i] == scc.tp_index[n + i]) {
return false;
} else {
result[n + i] = true;
result[i] = false;
}
}
return true;
}
bool val(ll x) { return result[x]; }
};
signed main() {
ll N;
cin >> N;
ll S[N], T[N], U[N];
rep(i, N) cin >> S[i], S[i]--;
rep(i, N) cin >> T[i], T[i]--;
rep(i, N) cin >> U[i];
SAT sat(N * N);
rep(i, N) rep(j, N) {
sat.addliteral(N * S[i] + j, N * j + T[i], U[i] & 1, U[i] & 2);
}
if (sat.calc()) {
rep(i, N) rep(j, N) cout << sat.val(i * N + j) << rt(j, N);
} else {
cout << -1 << rt;
}
}