답안 #931187

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
931187 2024-02-21T10:59:39 Z dosts Nafta (COI15_nafta) C++17
34 / 100
1000 ms 404372 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++) {
            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});
                if (find(i,j) == find(gx,gy)) continue;
                unite(i,j,gx,gy);
            }
        }
    }

    for (int i=1;i<=n;i++) for (int j=1;j<=m;j++) vis[i][j] = 0;
    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++) {
        for (int j=1;j<i;j++) common[i][j]= common[j][i];
    }
    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;
        for (int j=1;j<=m;j++) dp[j] = 0;
    }
}
                 
                             
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();
}
# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 105040 KB Output is correct
2 Correct 31 ms 105252 KB Output is correct
3 Correct 34 ms 105564 KB Output is correct
4 Correct 31 ms 105048 KB Output is correct
5 Correct 29 ms 105052 KB Output is correct
6 Correct 29 ms 105052 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 105040 KB Output is correct
2 Correct 31 ms 105252 KB Output is correct
3 Correct 34 ms 105564 KB Output is correct
4 Correct 31 ms 105048 KB Output is correct
5 Correct 29 ms 105052 KB Output is correct
6 Correct 29 ms 105052 KB Output is correct
7 Correct 38 ms 117008 KB Output is correct
8 Correct 47 ms 118356 KB Output is correct
9 Correct 63 ms 120808 KB Output is correct
10 Correct 38 ms 116816 KB Output is correct
11 Correct 37 ms 117084 KB Output is correct
12 Correct 38 ms 117336 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 105040 KB Output is correct
2 Correct 31 ms 105252 KB Output is correct
3 Correct 34 ms 105564 KB Output is correct
4 Correct 31 ms 105048 KB Output is correct
5 Correct 29 ms 105052 KB Output is correct
6 Correct 29 ms 105052 KB Output is correct
7 Correct 38 ms 117008 KB Output is correct
8 Correct 47 ms 118356 KB Output is correct
9 Correct 63 ms 120808 KB Output is correct
10 Correct 38 ms 116816 KB Output is correct
11 Correct 37 ms 117084 KB Output is correct
12 Correct 38 ms 117336 KB Output is correct
13 Correct 549 ms 242648 KB Output is correct
14 Correct 860 ms 304096 KB Output is correct
15 Execution timed out 1070 ms 404372 KB Time limit exceeded
16 Halted 0 ms 0 KB -