Submission #807274

#	Time	Username	Problem	Language	Result	Execution time	Memory
807274		I_Love_EliskaM_	Catfish Farm (IOI22_fish)	C++17	84 / 100	400 ms	607708 KiB

fish

#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
#define forn(i,n) for(int i=0;i<n;++i)
#define pb push_back
#define all(x) x.begin(), x.end()
using ll = long long;
#define pi pair<ll,ll>
#define f first
#define s second

const int N=5005;
ll dp[N][N];
ll dp2[N][N];
ll dp3[N][N];
ll pr[N][N];
ll prmx[N][N];
ll prmx2[N][N];
ll sfmx[N][N];

ll good(int n, int m, vector<int> x, vector<int> y, vector<int> w) {
  if (n>N) exit(0);

  forn(i,m) {
    pr[x[i]+1][y[i]+1]=w[i];
  }
  forn(i,n) {
    forn(j,n) {
      pr[i+1][j+1]+=pr[i+1][j];
    }
  }
  for (int i=1; i<=n; ++i) {
    for (int j=0; j<=n; ++j) {

      if (i>=2) {
        dp[i][j]=max(dp[i][j],prmx[i-2][j]+pr[i-1][j]);
        dp[i][j]=max(dp[i][j],sfmx[i-2][j]);
      }

      dp[i][j]=max(dp[i][j],prmx2[i-1][j]+pr[i-1][j]);
      dp[i][j]=max(dp[i][j],prmx[i-1][j]);
      dp3[i][j]=dp[i][j];
      dp[i][j]=max(dp[i][j],sfmx[i-1][j]-pr[i][j]);

      dp2[i][j] = dp[i][j]+pr[i+1][j];

    }
    prmx[i][0]=dp[i][0];
    for (int j=1; j<=n; ++j) prmx[i][j]=max(dp[i][j],prmx[i][j-1]);
    sfmx[i][n]=dp2[i][n];
    for (int j=n-1; j>=0; --j) sfmx[i][j]=max(dp2[i][j],sfmx[i][j+1]);
    prmx2[i][0]=dp3[i][0];
    for (int j=1; j<=n; ++j) prmx2[i][j]=max(dp3[i][j]-pr[i][j],prmx2[i][j-1]);
  }

  ll ans=0;
  for (int j=0; j<=n; ++j) ans=max(ans,dp[n][j]);
  return ans;

}

const int _N=100005;
vector<ll> _pr[_N];
vector<pi> f[_N];

ll sum(int i, int j) {
  int l=0, r=f[i].size();
  while (l<r) {
    int m=(l+r+1)>>1;
    if (f[i][m-1].f>j) r=m-1;
    else l=m;
  }
  return _pr[i][r];
}

vector<pi> _dp[_N], _dp2[_N], _dp3[_N];
vector<ll> _prmx[_N], _prmx2[_N], _sfmx[_N];


ll _prmxquery(int i, int j) {
  int l=0, r=_dp[i].size();
  while (l<r) {
    int m=(l+r+1)>>1;
    if (_dp[i][m-1].f > j) r=m-1;
    else l=m;
  }
  return _prmx[i][r];
}
ll _prmx2query(int i, int j) {
  int l=0, r=_dp3[i].size();
  while (l<r) {
    int m=(l+r+1)>>1;
    if (_dp3[i][m-1].f > j) r=m-1;
    else l=m;
  }
  return _prmx2[i][r];
}
ll _sfmxquery(int i, int j) {
  int l=0, r=_dp2[i].size();
  while (l<r) {
    int m=(l+r)>>1;
    if (_dp2[i][m].f<j) l=m+1;
    else r=m;
  }
  return _sfmx[i][r];
}


ll bad(int n, int m, vector<int> x, vector<int> y, vector<int> w) {

  forn(i,m) {
    f[x[i]+1].pb({y[i]+1,w[i]});
  }
  for(int i=1;i<=n;++i) {
    sort(all(f[i]));
    f[i].pb({n+1,0});
    _pr[i]={0};
    forn(j,f[i].size()) _pr[i].pb(_pr[i].back()+f[i][j].s);
  }

  _dp[0].pb({0,0});
  _dp[0].pb({n,0});
  _pr[0]={0,0,0};
  _dp2[0]=_dp3[0]=_dp[0];
  _prmx[0]={0,0};
  _prmx2[0]=_sfmx[0]=_prmx[0];
  _pr[n+1]={0,0,0};

  for(int i=1; i<=n; ++i) {
    for(auto&x:f[i]) {
      int j=x.f-1;

      ll d=0;
      if (i>=2) {
        d=max(d,_prmxquery(i-2,j)+sum(i-1,j));
        d=max(d,_sfmxquery(i-2,j));
      }

      d=max(d,_prmx2query(i-1,j)+sum(i-1,j));
      d=max(d,_prmxquery(i-1,j));
      ll d3=d;
      d=max(d,_sfmxquery(i-1,j)-sum(i,j));
      ll d2=d+sum(i+1,j);

      _dp[i].pb({j,d});
      _dp2[i].pb({j,d2});
      _dp3[i].pb({j,d3});
    }
    _prmx[i]={0};
    _prmx2[i]=_sfmx[i]=_prmx[i];

    for (int j=0; j<_dp[i].size(); ++j) {
      _prmx[i].pb(max(_prmx[i].back(),_dp[i][j].s));
      _prmx2[i].pb(max(_prmx2[i].back(),_dp3[i][j].s-sum(i,_dp3[i][j].f)));
    }
      
    reverse(all(_dp2[i]));
    for (int j=0; j<_dp2[i].size(); ++j) {
      _sfmx[i].pb(max(_sfmx[i].back(),_dp2[i][j].s));
    }
    reverse(all(_dp2[i]));
    reverse(all(_sfmx[i]));

  }
  ll ans=0;
  for(auto&x:_dp[n]) ans=max(ans,x.s);

  return ans;

}

ll max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w) {
if (n<=N) return good(n,m,x,y,w);
return bad(n,m,x,y,w);
}

Compilation message (stderr)

fish.cpp: In function 'll bad(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:4:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    4 | #define forn(i,n) for(int i=0;i<n;++i)
......
  118 |     forn(j,f[i].size()) _pr[i].pb(_pr[i].back()+f[i][j].s);
      |          ~~~~~~~~~~~~~          
fish.cpp:118:5: note: in expansion of macro 'forn'
  118 |     forn(j,f[i].size()) _pr[i].pb(_pr[i].back()+f[i][j].s);
      |     ^~~~
fish.cpp:152:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  152 |     for (int j=0; j<_dp[i].size(); ++j) {
      |                   ~^~~~~~~~~~~~~~
fish.cpp:158:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |     for (int j=0; j<_dp2[i].size(); ++j) {
      |                   ~^~~~~~~~~~~~~~~

• Subtask 1: 3 / 3
• Subtask 2: 6 / 6
• Subtask 3: 9 / 9
• Subtask 4: 14 / 14
• Subtask 5: 21 / 21
• Subtask 6: 17 / 17
• Subtask 7: 14 / 14
• Subtask 8: 0 / 16