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Submission #416529

# Submission time Handle Problem Language Result Execution time Memory
416529 2021-06-02T14:49:07 Z MarcoMeijer Nafta (COI15_nafta) C++14
100 / 100
 843 ms 117896 KB 
#include <bits/stdc++.h>
using namespace std;

typedef pair<int,int> ii;
typedef long long ll;
typedef pair<int,int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<ll> vll;

#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define RE(a,b) REP(a,0,b)
#define RE1(a,b) REP(a,1,b+1)
#define FOR(a,b) for(auto& a : b)
#define pb push_back
#define all(a) a.begin(),a.end()
#define fi first
#define se second

const int INF	= 1e9;
const int MX	= 2002;
const int N	= MX*MX;
const int MOD	= 1e9+7;

int r, s;
char gr[MX][MX];
int dx[]={-1,0,1,0};
int dy[]={0,-1,0,1};

// grid
bool inside(int x, int y) {
  return x>=0&&y>=0&&x<r&&y<s;
}
bool isOil(int x, int y) {
  if(!inside(x,y)) return 0;
  return gr[x][y] != '.';
}

// DSU
int ra[N], p[N], minx[N], maxx[N], sm[N];
void builddsu() {
  RE(x,r) RE(y,s) {
    int i=x+y*r;
    ra[i]=0, p[i]=i, minx[i]=y, maxx[i]=y, sm[i]=0;
    if(gr[x][y] != '.') sm[i]=gr[x][y]-'0';
  }
}
int getSet(int i) {return i==p[i] ? i : p[i]=getSet(p[i]);}
void unionSet(int i, int j) {
  i = getSet(i); j = getSet(j);
  if(i == j) return;
  sm[i] = sm[j] = sm[i]+sm[j];
  minx[i] = minx[j] = min(minx[i], minx[j]);
  maxx[i] = maxx[j] = max(maxx[i], maxx[j]);
  if(ra[i] > ra[j]) {
    p[j]=i;
  } else {
    p[i]=j;
    if(ra[i] == ra[j]) ra[j]++;
  }
}

// daq dp
int cost[MX][MX];
int dp[MX][MX];
void daq(int x, int l, int r, int al, int ar) {
  if(r < l) return;
  int m=(l+r)/2;

  int bsti=al,bstAns=0;
  REP(i,al,ar+1) {
    if(i+1 > m) continue;
    int nAns = dp[i][x-1] + cost[i+1][m];
    if(nAns > bstAns) {
      bstAns = nAns;
      bsti=i;
    }
  }
  dp[m][x] = bstAns;

  daq(x,l,m-1,al,bsti);
  daq(x,m+1,r,bsti,ar);
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cin>>r>>s;
  RE(i,r) RE(j,s) cin>>gr[i][j];

  builddsu();
  RE(x,r) RE(y,s) RE(d,4) {
    int nx=x+dx[d];
    int ny=y+dy[d];
    if(!isOil(x,y) || !isOil(nx,ny)) continue;
    unionSet(x+y*r, nx+ny*r);
  }

  RE(i,r*s) {
    if(p[i] != i) continue;
    cost[minx[i]  ][maxx[i]  ] += sm[i];
    cost[maxx[i]+1][maxx[i]+1] -= sm[i];
  }


  RE(i,s) RE(j,s) {
    if(i)
      cost[i][j] += cost[i-1][j];
    if(j)
      cost[i][j] += cost[i][j-1];
    if(i && j)
      cost[i][j] -= cost[i-1][j-1];
  }

  RE(i,s) {
    dp[i][0] = 0;
    RE(j,i+1) dp[i][0] = max(dp[i][0], cost[j][i]);
  }

  REP(i,1,s) {
    daq(i,0,s-1,0,s-1);
  }

  RE(i,s) cout<<dp[s-1][i]<<endl;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 844 KB Output is correct
2 Correct 1 ms 844 KB Output is correct
3 Correct 1 ms 844 KB Output is correct
4 Correct 1 ms 844 KB Output is correct
5 Correct 1 ms 844 KB Output is correct
6 Correct 1 ms 844 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 844 KB Output is correct
2 Correct 1 ms 844 KB Output is correct
3 Correct 1 ms 844 KB Output is correct
4 Correct 1 ms 844 KB Output is correct
5 Correct 1 ms 844 KB Output is correct
6 Correct 1 ms 844 KB Output is correct
7 Correct 11 ms 5788 KB Output is correct
8 Correct 12 ms 5708 KB Output is correct
9 Correct 13 ms 5788 KB Output is correct
10 Correct 10 ms 5708 KB Output is correct
11 Correct 10 ms 5708 KB Output is correct
12 Correct 10 ms 5760 KB Output is correct

Subtask #3
66.0 / 66.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 844 KB Output is correct
2 Correct 1 ms 844 KB Output is correct
3 Correct 1 ms 844 KB Output is correct
4 Correct 1 ms 844 KB Output is correct
5 Correct 1 ms 844 KB Output is correct
6 Correct 1 ms 844 KB Output is correct
7 Correct 11 ms 5788 KB Output is correct
8 Correct 12 ms 5708 KB Output is correct
9 Correct 13 ms 5788 KB Output is correct
10 Correct 10 ms 5708 KB Output is correct
11 Correct 10 ms 5708 KB Output is correct
12 Correct 10 ms 5760 KB Output is correct
13 Correct 668 ms 114004 KB Output is correct
14 Correct 780 ms 113880 KB Output is correct
15 Correct 843 ms 113908 KB Output is correct
16 Correct 665 ms 117896 KB Output is correct
17 Correct 705 ms 117788 KB Output is correct
18 Correct 701 ms 117800 KB Output is correct