結果

問題 No.1324 Approximate the Matrix
ユーザー 👑 tute7627tute7627
提出日時 2021-01-03 16:44:07
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 157 ms / 2,000 ms
コード長 6,285 bytes
コンパイル時間 2,506 ms
コンパイル使用メモリ 219,324 KB
実行使用メモリ 11,648 KB
最終ジャッジ日時 2024-10-13 10:13:05
合計ジャッジ時間 6,317 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 141 ms
11,520 KB
testcase_04 AC 141 ms
11,520 KB
testcase_05 AC 141 ms
11,648 KB
testcase_06 AC 138 ms
11,520 KB
testcase_07 AC 139 ms
11,648 KB
testcase_08 AC 13 ms
6,656 KB
testcase_09 AC 9 ms
5,248 KB
testcase_10 AC 19 ms
5,504 KB
testcase_11 AC 37 ms
7,168 KB
testcase_12 AC 7 ms
5,248 KB
testcase_13 AC 4 ms
5,248 KB
testcase_14 AC 43 ms
9,344 KB
testcase_15 AC 16 ms
6,656 KB
testcase_16 AC 3 ms
5,248 KB
testcase_17 AC 22 ms
5,248 KB
testcase_18 AC 7 ms
5,248 KB
testcase_19 AC 6 ms
5,248 KB
testcase_20 AC 5 ms
5,248 KB
testcase_21 AC 4 ms
5,248 KB
testcase_22 AC 6 ms
6,144 KB
testcase_23 AC 18 ms
5,248 KB
testcase_24 AC 53 ms
8,448 KB
testcase_25 AC 25 ms
5,248 KB
testcase_26 AC 24 ms
5,376 KB
testcase_27 AC 10 ms
5,248 KB
testcase_28 AC 2 ms
5,248 KB
testcase_29 AC 2 ms
5,248 KB
testcase_30 AC 2 ms
5,248 KB
testcase_31 AC 3 ms
5,248 KB
testcase_32 AC 2 ms
5,248 KB
testcase_33 AC 2 ms
5,248 KB
testcase_34 AC 2 ms
5,248 KB
testcase_35 AC 2 ms
5,248 KB
testcase_36 AC 2 ms
5,248 KB
testcase_37 AC 152 ms
11,648 KB
testcase_38 AC 157 ms
11,648 KB
testcase_39 AC 155 ms
11,520 KB
testcase_40 AC 153 ms
11,520 KB
testcase_41 AC 151 ms
11,648 KB
testcase_42 AC 9 ms
7,808 KB
testcase_43 AC 9 ms
7,552 KB
testcase_44 AC 9 ms
7,680 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

//#define _GLIBCXX_DEBUG

#include<bits/stdc++.h>
using namespace std;

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T>void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++){for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<ll>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<ll>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template< typename flow_t, typename cost_t >
struct PrimalDual {
  const cost_t INF;

  struct edge {
    ll to;
    flow_t cap;
    cost_t cost;
    ll rev;
    bool isrev;
  };
  vector< vector< edge > > graph;
  vector< cost_t > potential, min_cost;
  vector< ll > prevv, preve;

  PrimalDual(ll V) : graph(V), INF(numeric_limits< cost_t >::max()) {}

  void add_edge(ll from, ll to, flow_t cap, cost_t cost) {
    graph[from].emplace_back((edge) {to, cap, cost, (ll) graph[to].size(), false});
    graph[to].emplace_back((edge) {from, 0, -cost, (ll) graph[from].size() - 1, true});
  }
  void add_edge(ll from, ll to, flow_t cap, cost_t cost,flow_t tmp) {
    graph[from].emplace_back((edge) {to, tmp, cost, (ll) graph[to].size(), false});
    graph[to].emplace_back((edge) {from, cap-tmp, -cost, (ll) graph[from].size() - 1, true});
  }
  cost_t min_cost_flow(ll s, ll t, flow_t f) {
    ll V = (ll) graph.size();
    cost_t ret = 0;
    using Pi = pair< cost_t, ll >;
    priority_queue< Pi, vector< Pi >, greater< Pi > > que;
    potential.assign(V, 0);
    preve.assign(V, -1);
    prevv.assign(V, -1);

    while(f > 0) {
      min_cost.assign(V, INF);
      que.emplace(0, s);
      min_cost[s] = 0;
      while(!que.empty()) {
        Pi p = que.top();
        que.pop();
        if(min_cost[p.second] < p.first) continue;
        for(ll i = 0; i < graph[p.second].size(); i++) {
          edge &e = graph[p.second][i];
          cost_t nextCost = min_cost[p.second] + e.cost + potential[p.second] - potential[e.to];
          if(e.cap > 0 && min_cost[e.to] > nextCost) {
            min_cost[e.to] = nextCost;
            prevv[e.to] = p.second, preve[e.to] = i;
            que.emplace(min_cost[e.to], e.to);
          }
        }
      }
      if(min_cost[t] == INF) return -1;
      for(ll v = 0; v < V; v++) potential[v] += min_cost[v];
      flow_t addflow = f;
      for(ll v = t; v != s; v = prevv[v]) {
        addflow = min(addflow, graph[prevv[v]][preve[v]].cap);
      }
      f -= addflow;
      ret += addflow * potential[t];
      for(ll v = t; v != s; v = prevv[v]) {
        edge &e = graph[prevv[v]][preve[v]];
        e.cap -= addflow;
        graph[v][e.rev].cap += addflow;
      }
    }
    return ret;
  }

  void output() {
    for(ll i = 0; i < graph.size(); i++) {
      for(auto &e : graph[i]) {
        if(e.isrev) continue;
        auto &rev_e = graph[e.to][e.rev];
        cout << i << "->" << e.to << " (flow: " << rev_e.cap << "/" << rev_e.cap + e.cap << ")"  spa e.cost<< endl;
      }
    }
  }
  //(from->to,flow,cost)
  using R=vector<pair<pair<ll,ll>,pair<flow_t,cost_t>>>;
  R restore() {
    R ret;
    for(ll i = 0; i < graph.size(); i++) {
      for(auto &e : graph[i]) {
        if(e.isrev) continue;
        auto &rev_e = graph[e.to][e.rev];
        ret.emplace_back(make_pair(i,e.to),make_pair(rev_e.cap,e.cost));
      }
    }
    return ret;
  }
};
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n,k;cin>>n>>k;
  vector<ll>a(n),b(n);
  rep(i,0,n)cin>>a[i];
  rep(i,0,n)cin>>b[i];
  auto p=vec(n,n,0LL);
  rep(i,0,n)rep(j,0,n){
    cin>>p[i][j];
  }
  PrimalDual<ll,ll>flow(2*n+2);
  ll S=2*n,T=2*n+1;
  ll cost=0;
  const ll inf=1e9;
  rep(i,0,n){
    rep(j,0,n){
      cost+=p[i][j]*p[i][j];
      rep(o,0,a[i]+1)flow.add_edge(i,n+j,1,2*(o-p[i][j])+1);
    }
    flow.add_edge(S,i,a[i],0);
    flow.add_edge(n+i,T,b[i],0);
  }
  cout<<cost+flow.min_cost_flow(S,T,k)<<endl;
  //flow.output();
  return 0;
}
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