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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#289045#7857. (-1,1)-Sumpleteucup-team133#TL 1286ms797328kbC++178.8kb2023-12-23 14:59:562023-12-23 14:59:57

Judging History

你现在查看的是最新测评结果

  • [2023-12-23 14:59:57]
  • 评测
  • 测评结果:TL
  • 用时:1286ms
  • 内存:797328kb
  • [2023-12-23 14:59:56]
  • 提交

answer

// -fsanitize=undefined,
// #define _GLIBCXX_DEBUG


#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <iostream>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <cmath>
#include <iomanip>
#include <random>
#include <stdio.h>
#include <fstream>
#include <functional>
#include <cassert>
#include <unordered_map>
#include <bitset>
#include <chrono>

#include <algorithm>

#include <vector>

namespace atcoder {

namespace internal {

template <class T> struct simple_queue {
    std::vector<T> payload;
    int pos = 0;
    void reserve(int n) { payload.reserve(n); }
    int size() const { return int(payload.size()) - pos; }
    bool empty() const { return pos == int(payload.size()); }
    void push(const T& t) { payload.push_back(t); }
    T& front() { return payload[pos]; }
    void clear() {
        payload.clear();
        pos = 0;
    }
    void pop() { pos++; }
};

}  // namespace internal

}  // namespace atcoder

#include <cassert>
#include <limits>
#include <queue>
#include <vector>

namespace atcoder {

template <class Cap> struct mf_graph {
  public:
    mf_graph() : _n(0) {}
    mf_graph(int n) : _n(n), g(n) {}

    int add_edge(int from, int to, Cap cap) {
        assert(0 <= from && from < _n);
        assert(0 <= to && to < _n);
        assert(0 <= cap);
        int m = int(pos.size());
        pos.push_back({from, int(g[from].size())});
        int from_id = int(g[from].size());
        int to_id = int(g[to].size());
        if (from == to) to_id++;
        g[from].push_back(_edge{to, to_id, cap});
        g[to].push_back(_edge{from, from_id, 0});
        return m;
    }

    struct edge {
        int from, to;
        Cap cap, flow;
    };

    edge get_edge(int i) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        auto _e = g[pos[i].first][pos[i].second];
        auto _re = g[_e.to][_e.rev];
        return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
    }
    std::vector<edge> edges() {
        int m = int(pos.size());
        std::vector<edge> result;
        for (int i = 0; i < m; i++) {
            result.push_back(get_edge(i));
        }
        return result;
    }
    void change_edge(int i, Cap new_cap, Cap new_flow) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        assert(0 <= new_flow && new_flow <= new_cap);
        auto& _e = g[pos[i].first][pos[i].second];
        auto& _re = g[_e.to][_e.rev];
        _e.cap = new_cap - new_flow;
        _re.cap = new_flow;
    }

    Cap flow(int s, int t) {
        return flow(s, t, std::numeric_limits<Cap>::max());
    }
    Cap flow(int s, int t, Cap flow_limit) {
        assert(0 <= s && s < _n);
        assert(0 <= t && t < _n);
        assert(s != t);

        std::vector<int> level(_n), iter(_n);
        internal::simple_queue<int> que;

        auto bfs = [&]() {
            std::fill(level.begin(), level.end(), -1);
            level[s] = 0;
            que.clear();
            que.push(s);
            while (!que.empty()) {
                int v = que.front();
                que.pop();
                for (auto e : g[v]) {
                    if (e.cap == 0 || level[e.to] >= 0) continue;
                    level[e.to] = level[v] + 1;
                    if (e.to == t) return;
                    que.push(e.to);
                }
            }
        };
        auto dfs = [&](auto self, int v, Cap up) {
            if (v == s) return up;
            Cap res = 0;
            int level_v = level[v];
            for (int& i = iter[v]; i < int(g[v].size()); i++) {
                _edge& e = g[v][i];
                if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
                Cap d =
                    self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
                if (d <= 0) continue;
                g[v][i].cap += d;
                g[e.to][e.rev].cap -= d;
                res += d;
                if (res == up) break;
            }
            return res;
        };

        Cap flow = 0;
        while (flow < flow_limit) {
            bfs();
            if (level[t] == -1) break;
            std::fill(iter.begin(), iter.end(), 0);
            while (flow < flow_limit) {
                Cap f = dfs(dfs, t, flow_limit - flow);
                if (!f) break;
                flow += f;
            }
        }
        return flow;
    }

    std::vector<bool> min_cut(int s) {
        std::vector<bool> visited(_n);
        internal::simple_queue<int> que;
        que.push(s);
        while (!que.empty()) {
            int p = que.front();
            que.pop();
            visited[p] = true;
            for (auto e : g[p]) {
                if (e.cap && !visited[e.to]) {
                    visited[e.to] = true;
                    que.push(e.to);
                }
            }
        }
        return visited;
    }

  private:
    int _n;
    struct _edge {
        int to, rev;
        Cap cap;
    };
    std::vector<std::pair<int, int>> pos;
    std::vector<std::vector<_edge>> g;
};

}  // namespace atcoder



using namespace std;
using namespace atcoder;


#define rep(i,n) for (int i=0;i<n;i+=1)
#define rrep(i,n) for (int i=n-1;i>-1;i--)
#define pb push_back
#define all(x) (x).begin(), (x).end()

#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << " )\n";

template<class T>
using vec = vector<T>;
template<class T>
using vvec = vec<vec<T>>;
template<class T>
using vvvec = vec<vvec<T>>;
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;


template<class T>
bool chmin(T &a, T b){
  if (a>b){
    a = b;
    return true;
  }
  return false;
}

template<class T>
bool chmax(T &a, T b){
  if (a<b){
    a = b;
    return true;
  }
  return false;
}

template<class T>
T sum(vec<T> x){
  T res=0;
  for (auto e:x){
    res += e;
  }
  return res;
}

template<class T>
void printv(vec<T> x){
  for (auto e:x){
    cout<<e<<" ";
  }
  cout<<endl;
}



template<class T,class U>
ostream& operator<<(ostream& os, const pair<T,U>& A){
  os << "(" << A.first <<", " << A.second << ")";
  return os;
}

template<class T>
ostream& operator<<(ostream& os, const set<T>& S){
  os << "set{";
  for (auto a:S){
    os << a;
    auto it = S.find(a);
    it++;
    if (it!=S.end()){
      os << ", ";
    }
  }
  os << "}";
  return os;
}

template<class T>
ostream& operator<<(ostream& os, const vec<T>& A){
  os << "[";
  rep(i,A.size()){
    os << A[i];
    if (i!=A.size()-1){
      os << ", ";
    }
  }
  os << "]" ;
  return os;
}


void solve(){
  int N;
  cin>>N;
  vec<string> S(N);
  rep(i,N) cin>>S[i];

  vec<int> R(N),C(N);
  rep(i,N) {cin>>R[i]; R[i] *= -1;}
  rep(i,N) cin>>C[i];

  if (accumulate(all(R),0) != -accumulate(all(C),0)){
    cout << "No" << "\n";
    return ;
  }

  mf_graph<int> G(2*N+2);
  int s = 2*N, t = 2*N+1;
  rep(r,N){
    rep(c,N){
      if (S[r][c] == '+'){
        G.add_edge(r,c+N,1);
      }
      else{
        G.add_edge(c+N,r,1);
      }
    }
  }
  int check = 0;
  rep(r,N){
    if (R[r] <= 0){
      check += -R[r];
      G.add_edge(s,r,-R[r]);
    }
    else{
      G.add_edge(r,t,R[r]);
    }
  }
  rep(c,N){
    if (C[c] <= 0){
      check += -C[c];
      G.add_edge(s,c+N,-C[c]);
    }
    else{
      G.add_edge(c+N,t,C[c]);
    }
  }

  int F = G.flow(s,t);
  if (F!=check){
    cout << "No" << "\n";
    //assert (false);
    return ;
  }

  cout << "Yes" << "\n";
  vector<int> check_R(N,0),check_C(N,0);
  for (auto e:G.edges()){
    if (0 <= e.from && e.from < N){
      if (N <= e.to && e.to < 2*N){
        int r = e.from, c = e.to - N;
        if (S[r][c] == '+' && e.flow == 0){
          S[r][c] = '0';
        }
        else if (S[r][c] == '+' && e.flow == 1){
          S[r][c] = '1';
          check_R[r]--;
          check_C[c]++;
        }
      }
    }
    else if (N <= e.from && e.from < 2*N){
      if (0 <= e.to && e.to < N){
        int r = e.to, c = e.from - N;
        //cout << r << " " << c << " " << S[r][c] << endl;
        if (S[r][c] == '-' && e.flow == 0){
          S[r][c] = '0';
        }
        else if (S[r][c] == '-' && e.flow == 1){
          S[r][c] = '1';
          check_R[r]++;
          check_C[c]--;
        } 
      }
    }
  }
  rep(r,N){
    rep(c,N){
      assert (S[r][c] == '1' || S[r][c] == '0');
    }
    cout << S[r] << "\n";
  }

  assert (check_R == R && check_C == C);


}



int main(){
  ios::sync_with_stdio(false);
  std::cin.tie(nullptr);

  int T;
  T = 1;
  while (T--){
    solve();
  }

  
  
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3628kb

input:

3
+-+
-++
+-+
1 1 1
1 -1 3

output:

Yes
111
001
001

result:

ok n=3

Test #2:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

3
---
-++
+++
-2 -1 0
-2 -1 0

output:

Yes
110
100
000

result:

ok n=3

Test #3:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

3
+-+
-++
++-
1 0 2
2 2 -1

output:

No

result:

ok n=3

Test #4:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

1
-
-1
1

output:

No

result:

ok n=1

Test #5:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

1
-
0
0

output:

Yes
0

result:

ok n=1

Test #6:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

20
+-------+-----+++-++
-+-++++----++-++-++-
-+++--+---+--+-++---
-+++-+--+----++---+-
+++-+-++++++-+-+---+
-++-----+----++++++-
+-++--+++++-++-+----
+-+----+---+-+++--+-
+++++-+++++----+--+-
------++++---+--++--
++++--------++++--+-
-+-+-++++-+-++-++--+
---+-++---+-++-++---
+-++++-++----+-+++--
+-+...

output:

Yes
01011000010000101110
10000000000010110010
10000101010001001000
10000011010001100101
10101000100001010000
10000000010001001001
01000000000100000000
00000010000000000110
00000000000000000110
10000000001100000001
00000001011100000101
00000000100000000000
00000000000011000000
00000000000001011000
00...

result:

ok n=20

Test #7:

score: 0
Accepted
time: 1ms
memory: 4104kb

input:

100
++++-+-+--++++++-+--+--++-+-+--+++++-+++---+-+-+-++-+-+++-------+-++--+-++--+--+++++-++-+---+--+--++
-++--++-+-++++-+---++-+-+-+-+-+-+-+-+--+-+--+--+++---+--+-----+-----+-++-++-+-++++++--+-+++-+++-++++
--+---++-++--++-+++-------+--+-++------+-----+--+----++++++++-+--+++++--++--+-+-+++---+--+++-+...

output:

Yes
0000101011011101011010011110100011110111000101010110000000000000000100001100100111110010100010010011
0111100101010110010110011000101110101001010010011100010010000010000010110110101111110010111011101111
1101110010001011111000010010010100000001000001001000011111110010000110001100101001100010011101...

result:

ok n=100

Test #8:

score: 0
Accepted
time: 12ms
memory: 16628kb

input:

500
--+-+-+-++-----+++--+-+++-+---+-+-------+++--++++++-+--++--+-+-++++-++++--++--+---++--++----++--+---++-++--+-----+-+---++-++++-+++++++---++-++--+-++++-+----++-+++-+++---+--+++-+--++-++--+++++++-+++--+---+---+-+---++-+-+--+-+++-++-----+++-++-+++-+-++--++++++-+-++-+++---++-+++-++----+--+++----++++...

output:

Yes
00101010110000011100101110100010100000001110011110101001100101011110111100110010000111010010011101110010011011111010111001000010000000111001001101000010111100100010001110110001011001001100000001000110111011101011100101011010001001111100010010001010011000000101001000111001000100111101100010000000...

result:

ok n=500

Test #9:

score: 0
Accepted
time: 897ms
memory: 794612kb

input:

4000
-++-+-+-+--+-++++---+-++------++---+-+++--+++--+++++++---+-++-+++++++----+---+++-++--++---+-++--+----+---+--++-+-+-+-----+-+---++-++--+---+++-++++-+-----++--++-++---++-+--+++-+--+--+-+-++-+++--++---+++-+-+---+++-++-+-++-+-+++---+++---+-+--++---+-+---+--+++--+----+-+--++---+-----+-+--+----+-+++-...

output:

Yes
00000000100001000000100000000010000001010010000100001000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok n=4000

Test #10:

score: 0
Accepted
time: 1069ms
memory: 795444kb

input:

4000
+---+--++-+--++-+-++--+++--++--+++-+-+-+--++++++-++-+-+++-+---++++-+-+++----++-+---++--++--+++-----++---++-+--++++----++--++--+-+-++--+--+++++-+---+++-+++--++++-++-+++++++----+++-----+--++-+++-++-++-+++-+--++++++-+--++--+-+---++--------+-+--++----+-++-+-++---+--++--+-+--+-+++-+--+--++++-++----+...

output:

Yes
10001001101001101011001110011001110101010011111101101011101000111101011100001101000110011001110000011000110100111100001100110010101100100111110100011101110011110110111111100001110000010011011101101101110100111111010011001010001100000000101001100001011010110001001100101001011101001001111011000010...

result:

ok n=4000

Test #11:

score: 0
Accepted
time: 1028ms
memory: 794208kb

input:

4000
-+--+------+--+++-++-----++--+-++-++-++-+-+-++++++--++--+-++-+-+++---++-+-+++++-++++++-+-++-++-++-+-++---+-+-------++-+++-++-+-++++-++-+-+-----+----+--+----++++-------++-+--+++----+++++++-+--+-+---+-+++++-+-----++-------++++--+-+-++---++++-++++-++-+++-+-++---+--+---+-++++++--++---+-++++++-+-+--...

output:

Yes
10110111111011000100111110011010010010010101000000110011010010100011100101000001000000101001001001010011101011111110010001001010000100101011111011110110111100001111111001011000111100000001011010111010000010111110011111110000110101001110000100001001000101001110110111010000001100111010000001010111...

result:

ok n=4000

Test #12:

score: 0
Accepted
time: 957ms
memory: 795940kb

input:

4000
+-+-----++++-----++++-+-++-+----+++---++--+---+++-+-++------+-+-++++----+-++++--+-++----+-+---+--+-----+-++--++-+++---+---+++---++-+++---++++---++----+++--+---+---+++-++-+-+-+--+++--++----++-+------+++-++-++--+--+++---+-------++++-+-++--++-+--+------+++++---+---++-++++-+++-++++-+---++-++++----+...

output:

Yes
10100000111100000111101011010000111000110010001110101100000010101111000010111100101100001010001001000001011001101110001000111000110111000111100011000011100100010001110110101010011100110000110100000011101101100101111001101010010000110010110101110111110000011101110010000100010000101110010000111100...

result:

ok n=4000

Test #13:

score: 0
Accepted
time: 959ms
memory: 794440kb

input:

4000
-+++---+-------+-++++-+++-++-+--++----++++++---+---++-++++-+++-++++-+---+--+++-----+-+--++-+--+-++++--+--++-+---+++++++++-+++++++-+++--+-+---++-+-++----+-++--++-++++++++++++++-+++-++-+++-++-++---+---+++-+-+++++++--+-+++-++-+-----+++-++--+++------+++--+++---+--+----++-+--+-+---+--+---+-+-+--++++...

output:

Yes
10001110111111101000010001001011001111000000111011100100001000100001011101100011111010110010110100001101100101110000000001000000010001101011100101001111010011001000000000000001000111001101100101111011011101111111001011001001000101110010011000100011100111001100000011111001010001001010101010011110...

result:

ok n=4000

Test #14:

score: 0
Accepted
time: 1286ms
memory: 795888kb

input:

4000
+--+++++--++--+-+++-++-+-+-+-+--++------++++---+++-+-+--+------++-+--++-+-+++-----+-+++++-+------++++-++++-+--+------++--+++++-+-+--+-+++++++++++++++-+--+-+-+---+-+-+++++-++--+-+---++-++--+--+-+++-+-+++++-+--++-+----+++-++-++++-+---+--+-++-++-+-+-+---++-++-+-+----++-++++-----------+++--++++-++-...

output:

Yes
01100101001001110101100110111111111101111011101110000001010110100110001111001101110100001100100111000110000011101010111110110011011101010011000001010001010010110010111110010100100110000101110000010110010010111110111010011011011100100110101100111111110011111110101000101101011111011000101100000011...

result:

ok n=4000

Test #15:

score: 0
Accepted
time: 1211ms
memory: 797328kb

input:

4000
---++-++-+-+----++-++++-----------+++--++++-++-++--+-+--+--+-+-++++--++-++--+++++--++--+-+----+-+---++-+++-+--+-++++++++-++---++++-+--+-+++---+-+--+--+-+--+--++++++-+---++++++-++++----+-+-+-++--+---+--+-+++--++++++-+++-+---+--+-----------++-+++--+++++++--++-+++++--+++-+-+++++++++--+---+++--+-+-...

output:

Yes
11100100101011101110010010101110101110101011010110000100100100011110011011101011110111011110000010001001111110111011011000101011110000000110000000000010100100110111010011101110101100101010101101100010010111000111110111000011011000100000101101010011011111010011110001111101111110111010000110000100...

result:

ok n=4000

Test #16:

score: -100
Time Limit Exceeded

input:

4000
++-+-------+--++-++-++--++-+++++-++++--+-----++-+--+---++++--+-----++++++---+--+---+------+++-+-----+-+++--+++-+-+-+++-----++---+-+---+-+++++-+--+-++--++-+-----++-+-+---+++-+----++++---++--+-+-++-++-+--++---+++------++-+-++++--+--++-++-+++-++-+--++----++---+-+++-+-+++-++-+--++-++++--++-+-+-+-+-...

output:


result: