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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#788375#9449. New School TermMisuki#WA 3ms4020kbC++209.1kb2024-11-27 16:43:072024-11-27 16:43:07

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你现在查看的是最新测评结果

  • [2024-11-27 16:43:07]
  • 评测
  • 测评结果:WA
  • 用时:3ms
  • 内存:4020kb
  • [2024-11-27 16:43:07]
  • 提交

answer

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <variant>
#include <bit>
#include <compare>
#include <concepts>
#include <numbers>
#include <ranges>
#include <span>

#define int ll
#define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1)
#define INT128_MIN (-INT128_MAX - 1)

#define clock chrono::steady_clock::now().time_since_epoch().count()

using namespace std;

template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2> pr) {
  return os << pr.first << ' ' << pr.second;
}
template<class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N> &arr) {
  for(size_t i = 0; T x : arr) {
    os << x;
    if (++i != N) os << ' ';
  }
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const vector<T> &vec) {
  for(size_t i = 0; T x : vec) {
    os << x;
    if (++i != size(vec)) os << ' ';
  }
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const set<T> &s) {
  for(size_t i = 0; T x : s) {
    os << x;
    if (++i != size(s)) os << ' ';
  }
  return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const map<T1, T2> &m) {
  for(size_t i = 0; pair<T1, T2> x : m) {
    os << x;
    if (++i != size(m)) os << ' ';
  }
  return os;
}

#ifdef DEBUG
#define dbg(...) cerr << '(', _do(#__VA_ARGS__), cerr << ") = ", _do2(__VA_ARGS__)
template<typename T> void _do(T &&x) { cerr << x; }
template<typename T, typename ...S> void _do(T &&x, S&&...y) { cerr << x << ", "; _do(y...); }
template<typename T> void _do2(T &&x) { cerr << x << endl; }
template<typename T, typename ...S> void _do2(T &&x, S&&...y) { cerr << x << ", "; _do2(y...); }
#else
#define dbg(...)
#endif

using ll = long long;
using ull = unsigned long long;
using ldb = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
//#define double ldb

template<typename T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T> using max_heap = priority_queue<T>;

template<ranges::forward_range rng, class T = ranges::range_value_t<rng>, class OP = plus<T>>
void pSum(rng &&v) {
  if (!v.empty())
    for(T p = v[0]; T &x : v | views::drop(1))
      x = p = OP()(p, x);
}
template<ranges::forward_range rng, class T = ranges::range_value_t<rng>, class OP>
void pSum(rng &&v, OP op) {
  if (!v.empty())
    for(T p = v[0]; T &x : v | views::drop(1))
      x = p = op(p, x);
}

template<ranges::forward_range rng>
void Unique(rng &v) {
  ranges::sort(v);
  v.resize(unique(v.begin(), v.end()) - v.begin());
}

template<ranges::random_access_range rng>
rng invPerm(rng p) {
  rng ret = p;
  for(int i = 0; i < ssize(p); i++)
    ret[p[i]] = i;
  return ret;
}

template<ranges::random_access_range rng, ranges::random_access_range rng2>
rng Permute(rng v, rng2 p) {
  rng ret = v;
  for(int i = 0; i < ssize(p); i++)
    ret[p[i]] = v[i];
  return ret;
}

template<bool directed>
vector<vector<int>> readGraph(int n, int m, int base) {
  vector<vector<int>> g(n);
  for(int i = 0; i < m; i++) {
    int u, v; cin >> u >> v;
    u -= base, v -= base;
    g[u].emplace_back(v);
    if constexpr (!directed)
      g[v].emplace_back(u);
  }
  return g;
}

template<class T>
void setBit(T &msk, int bit, bool x) {
  msk = (msk & ~(T(1) << bit)) | (T(x) << bit);
}
template<class T> void flipBit(T &msk, int bit) { msk ^= T(1) << bit; }
template<class T> bool getBit(T msk, int bit) { return msk >> bit & T(1); }

template<class T>
T floorDiv(T a, T b) {
  if (b < 0) a *= -1, b *= -1;
  return a >= 0 ? a / b : (a - b + 1) / b;
}
template<class T>
T ceilDiv(T a, T b) {
  if (b < 0) a *= -1, b *= -1;
  return a >= 0 ? (a + b - 1) / b : a / b;
}

template<class T> bool chmin(T &a, T b) { return a > b ? a = b, 1 : 0; }
template<class T> bool chmax(T &a, T b) { return a < b ? a = b, 1 : 0; }

#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef vector<int> vi;

//source: KACTL(https://github.com/kth-competitive-programming/kactl)

ull modmul(ull a, ull b, ull M) {
	ll ret = a * b - M * ull(1.L / M * a * b);
	return ret + M * (ret < 0) - M * (ret >= (ll)M);
}

ull modpow(ull b, ull e, ull mod) {
	ull ans = 1;
	for (; e; b = modmul(b, b, mod), e /= 2)
		if (e & 1) ans = modmul(ans, b, mod);
	return ans;
}

bool isPrime(ull n) {
	if (n < 2 || n % 6 % 4 != 1) return (n | 1) == 3;
	ull A[] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022},
	    s = __builtin_ctzll(n-1), d = n >> s;
	for (ull a : A) {   // ^ count trailing zeroes
		ull p = modpow(a%n, d, n), i = s;
		while (p != 1 && p != n - 1 && a % n && i--)
			p = modmul(p, p, n);
		if (p != n-1 && i != s) return 0;
	}
	return 1;
}

struct DSU {
  vector<int> dep;
  vector<int> bos;
  vector<int> d;
  int size;

  DSU(int _size) : size(_size), dep(_size, 0), bos(_size), d(_size) {
    iota(bos.begin(), bos.end(), 0);
  }

  array<int, 2> query(int V) {
    if (bos[V] == V) {
      return {d[V], V};
    } else {
      auto res = query(bos[V]);
      d[V] ^= res[0];
      bos[V] = res[1];
      return {d[V], bos[V]};
    }
  }

  bool merge(int V1, int V2, bool eq) {
    int del = (eq ? 0 : 1);
    int B1 = query(V1)[1];
    int B2 = query(V2)[1];

    if (B1 == B2)
      return (d[V1] ^ d[V2]) == del;

    if (dep[B1] < dep[B2]) {
      bos[B1] = B2, d[B1] = d[V1] ^ d[V2] ^ del;
    } else if (dep[B1] > dep[B2]) {
      bos[B2] = B1, d[B2] = d[V1] ^ d[V2] ^ del;
    } else {
      bos[B1] = B2, d[B1] = d[V1] ^ d[V2] ^ del;
      dep[B2] += 1;
    }

    return true;
  }
};

mt19937 rng(clock);
uniform_int_distribution<int> unif(500'000'000, 1'000'000'000);
const int K = 4;
array<int, 4> P;

struct knapsack {
  static const int C = 5001;
  int base = 0;
  array<array<int, C>, K> dp;
  knapsack() : dp({}) {
    for(int i = 0; i < K; i++) dp[i][0] = 1;
  }
  void add_item(array<int, 2> x) {
    base += ranges::min(x);
    int w = abs(x[0] - x[1]);
    for(int i = 0; i < K; i++)
      for(int j = w; j < C; j++)
        dp[i][j] = (dp[i][j] + dp[i][j - w]) % P[i];
  }
  void del_item(array<int, 2> x) {
    base -= ranges::min(x);
    int w = abs(x[0] - x[1]);
    for(int i = 0; i < K; i++)
      for(int j = C - 1; j >= w; j--)
        dp[i][j] = (dp[i][j] - dp[i][j - w] + P[i]) % P[i];
  }
  bool query(int s) {
    for(int i = 0; i < K; i++)
      if (dp[i][s - base] != 0)
        return true;
    return false;
  }
};

signed main() {
  ios::sync_with_stdio(false), cin.tie(NULL);

  for(int i = 0; i < K; i++)
    while(!isPrime(P[i] = unif(rng))) ;

  int n, m; cin >> n >> m;
  vector<array<int, 2>> e(m);
  for(auto &[a, b] : e) {
    cin >> a >> b;
    a--, b--;
  }

  vector<array<int, 2>> f(2 * n, {1, 0});
  DSU dsu(2 * n);
  auto update_f = [&]() {
    fill(f.begin(), f.end(), array<int, 2>{0, 0});
    for(int i = 0; i < 2 * n; i++) {
      auto [d, bos] = dsu.query(i);
      f[bos][d]++;
    }
  };

  dbg("A");

  knapsack ks;
  for(int i = 0; i < 2 * n; i++)
    ks.add_item(f[i]);

  for(auto [a, b] : e | views::reverse) {
    auto [da, ba] = dsu.query(a);
    auto [db, bb] = dsu.query(b);
    if (ba == bb) continue;
    ks.del_item(f[ba]), ks.del_item(f[bb]);
    array<int, 2> x = f[ba];
    if (da == db) x[0] += f[bb][1], x[1] += f[bb][0];
    else x[0] += f[bb][0], x[1] += f[bb][1];
    ks.add_item(x);
    if (ks.query(n)) {
      dsu.merge(a, b, false);
      update_f();
    } else {
      ks.del_item(x);
      ks.del_item(f[ba]);
      ks.del_item(f[bb]);
    }
  }

  dbg("B");

  vector<int> pre(n + 1, -1);
  pre[0] = 0;
  int base = 0;
  for(int j = -1; auto [x, y] : f) {
    j++;
    base += min(x, y);
    int w = abs(x - y);
    if (w == 0) continue;
    for(int i = n; i >= w; i--)
      if (pre[i - w] != -1)
        pre[i] = j;
  }

  dbg("C");

  vector<bool> flip(2 * n, false);
  for(int i = 0; i < 2 * n; i++) flip[i] = f[i][1] < f[i][0];
  {
    int i = n - base;
    while(i != 0) {
      dbg(i);
      flip[pre[i]] = !flip[pre[i]];
      i -= abs(f[pre[i]][0] - f[pre[i]][1]);
    }
  }

  dbg("D");

  for(int i = 0; i < 2 * n; i++) {
    auto [d, bos] = dsu.query(i);
    cout << (d ^ flip[i]);
  }
  cout << '\n';

  return 0;
}

详细

Test #1:

score: 100
Accepted
time: 3ms
memory: 4020kb

input:

2 4
1 3
2 4
1 4
1 2

output:

1010

result:

ok Output is valid. OK

Test #2:

score: 0
Accepted
time: 3ms
memory: 3904kb

input:

3 7
2 5
1 3
4 6
2 6
4 5
2 4
5 6

output:

110010

result:

ok Output is valid. OK

Test #3:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

1 0

output:

10

result:

ok Output is valid. OK

Test #4:

score: 0
Accepted
time: 0ms
memory: 3952kb

input:

1 1
1 2

output:

10

result:

ok Output is valid. OK

Test #5:

score: -100
Wrong Answer
time: 2ms
memory: 3792kb

input:

2 3
2 4
3 4
1 2

output:

1010

result:

wrong answer The division is not minimized.