Submission #931190

# Submission time Handle Problem Language Result Execution time Memory
931190 2024-02-21T11:03:32 Z dosts Nafta (COI15_nafta) C++17
34 / 100
1000 ms 404308 KB
#pragma GCC optimize("O3,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define sp << " " << 
//#define int long long
#define ff first
#define ss second
#define vi vector<int>
#define pii pair<int,int>
#define all(x) x.begin(),x.end()
template<typename T1, typename T2> bool MIN(T1 &a, T2 b){return a > b ? a = b, true : false;}
template<typename T1, typename T2> bool MAX(T1 &a, T2 b){return a < b ? a = b, true : false;}
 
const int  N = 2e3+2,inf = 2e9;
 
pii dad[N][N];
int sm[N][N];
pii find(int x,int y) {
    if (pii{x,y} == dad[x][y]) return dad[x][y];
    return dad[x][y] = find(dad[x][y].first,dad[x][y].second);
}
void unite(int x1,int y1,int x2,int y2) {
    pii f1 = find(x1,y1);
    pii f2 = find(x2,y2);
    if (f1 == f2) return;
    sm[f2.first][f2.second]+=sm[f1.first][f1.second];
    dad[f1.first][f1.second] = f2;
}
 
 
int common[N][N];
int util[N];
vector<pii> edges[N][N];
int vis[N][N];

void dfs(int x,int y,int z) {
    if (vis[x][y]) return;
    vis[x][y] = z;
    for (auto it : edges[x][y]) dfs(it.first,it.second,z);
}

vi dp_prev(N,0),dp(N,0);
 
void dnc(int optl,int optr,int l,int r) {
    if (l > r) return; 
    int m = (l+r) >> 1;
    int opt = optl,best = 0;
    for (int i=optl;i<=min(optr,m-1);i++) {
        if (dp_prev[i]+util[m]-common[i][m] > best) {
            best = dp_prev[i]+util[m]-common[i][m];
            opt = i;
        };
    }
    dp[m] = best;
    dnc(optl,opt,l,m-1);
    dnc(opt,optr,m+1,r);
}
 
 
void solve() { 
    int n,m;
    cin >> n >> m;
    for (int i=1;i<=m;i++) for (int j=1;j<=m;j++) common[i][j] = 0;
    for (int i=1;i<=m;i++) util[i] = 0;
    vector<vi> a(n+1,vi(m+1));
    int dot = '.'-'0';
    for (int i=1;i<=n;i++) {
        string s;
        cin >> s;
        for (int j=1;j<=m;j++) {
            if (s[j-1]>='0' && s[j-1] <= '9') a[i][j] = s[j-1]-'0';
            else a[i][j] = -2;
        }
    }
    for (int i=1;i<=n;i++) for (int j=1;j<=m;j++) dad[i][j] = {i,j},sm[i][j] = max(0,a[i][j]);
    vi dx{1,0,-1,0},dy{0,1,0,-1};
    for (int i=1;i<=n;i++) {
        for (int j=1;j<=m;j++) {
            vis[i][j] = 0;
            if(a[i][j] == dot) continue;
            for (int d = 0;d<4;d++) {
                int gx = i+dx[d],gy = j+dy[d];
                if (gx < 1 || gx > n || gy < 1 || gy > m) continue;
                if (a[gx][gy] == dot) continue;
                edges[i][j].push_back({gx,gy});
                edges[gx][gy].push_back({i,j});
                unite(i,j,gx,gy);
            }
        }
    }
    for (int i=m;i>=1;i--){
        for (int j = 1;j<=n;j++) dfs(j,i,i);
    }
    int got[n+1][m+1];
    memset(got,0,sizeof got);
    for (int i=1;i<=m;i++) {
        vector<pair<pii,int>> pushed;
        for (int r=1;r<=n;r++) {
            if (a[r][i] == dot) continue;
            auto[x,y] = find(r,i);
            pushed.push_back({{x,y},r});
        }
        for (auto itt : pushed) {
            pii it = itt.first;
            int r = itt.second;
            if (got[it.first][it.second]) continue;
            got[it.first][it.second] = 1;
            util[i]+=sm[it.first][it.second];
            common[i][i]+=sm[it.first][it.second];
            common[i][vis[r][i]+1]-=sm[it.first][it.second];
        }
        for (auto it : pushed) if (got[it.ff.first][it.ff.second]) got[it.ff.first][it.ff.second] = 0;
    }
    for (int i=1;i<=m;i++) for (int j=i+1;j<=m;j++) common[i][j]+=common[i][j-1];
    for (int i=1;i<=m;i++) dp_prev[i] = util[i];
    cout << *max_element(dp_prev.begin()+1,dp_prev.end()) << '\n';
    for (int i=2;i<=m;i++) {
        dnc(0,m,1,m);
        cout << *max_element(dp.begin(),dp.end());
        if(i != m) cout << '\n';
        dp_prev = dp;
    }
}
                 
                             
signed main() { 
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    #ifdef Dodi
        freopen("in.txt","r",stdin);
        freopen("out.txt","w",stdout);
    #endif
 
    int t = 1;
    //cin >> t; 
	while (t --> 0) solve();
}
# Verdict Execution time Memory Grader output
1 Correct 32 ms 105048 KB Output is correct
2 Correct 32 ms 105104 KB Output is correct
3 Correct 32 ms 105308 KB Output is correct
4 Correct 31 ms 105052 KB Output is correct
5 Correct 31 ms 105240 KB Output is correct
6 Correct 34 ms 105324 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 32 ms 105048 KB Output is correct
2 Correct 32 ms 105104 KB Output is correct
3 Correct 32 ms 105308 KB Output is correct
4 Correct 31 ms 105052 KB Output is correct
5 Correct 31 ms 105240 KB Output is correct
6 Correct 34 ms 105324 KB Output is correct
7 Correct 39 ms 116820 KB Output is correct
8 Correct 47 ms 118428 KB Output is correct
9 Correct 59 ms 120660 KB Output is correct
10 Correct 38 ms 117084 KB Output is correct
11 Correct 42 ms 117072 KB Output is correct
12 Correct 39 ms 117484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 32 ms 105048 KB Output is correct
2 Correct 32 ms 105104 KB Output is correct
3 Correct 32 ms 105308 KB Output is correct
4 Correct 31 ms 105052 KB Output is correct
5 Correct 31 ms 105240 KB Output is correct
6 Correct 34 ms 105324 KB Output is correct
7 Correct 39 ms 116820 KB Output is correct
8 Correct 47 ms 118428 KB Output is correct
9 Correct 59 ms 120660 KB Output is correct
10 Correct 38 ms 117084 KB Output is correct
11 Correct 42 ms 117072 KB Output is correct
12 Correct 39 ms 117484 KB Output is correct
13 Correct 490 ms 242688 KB Output is correct
14 Correct 861 ms 304108 KB Output is correct
15 Execution timed out 1048 ms 404308 KB Time limit exceeded
16 Halted 0 ms 0 KB -