This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
//#define int long long
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,bmi,bmi2,lzcnt,popcnt")
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using Comp = array<ll, 3>;
const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
struct SegTree {
int n;
vector<vector<pii> > tree, v;
vector<vector<int> > suf;
void init(vector<vector<pii> > &_c) {
v = _c;
n = v.size() - 1;
suf.resize(4*n+10);
tree.resize(4*n+10);
build(1, 1, n);
}
void build(int u, int tl, int tr) {
if(tl == tr) {
tree[u] = v[tl];
if(!tree[u].empty()) {
suf[u].resize(tree[u].size());
suf[u].back() = tree[u].back().second;
for(int i=suf[u].size()-2; i>=0; i--) suf[u][i] = suf[u][i+1] + tree[u][i].second;
}
} else {
int tm = (tl + tr) / 2;
build(2*u, tl, tm);
build(2*u+1, tm+1, tr);
merge(all(tree[2*u]), all(tree[2*u+1]), back_inserter(tree[u]));
if(!tree[u].empty()) {
suf[u].resize(tree[u].size());
suf[u].back() = tree[u].back().second;
for(int i=suf[u].size()-2; i>=0; i--) suf[u][i] = suf[u][i+1] + tree[u][i].second;
}
}
}
int query(int u, int tl, int tr, int l, int r) {
if(tl > tr || l > tr || tl > r) return 0;
if(l <= tl && tr <= r) {
if(tree[u].empty() || tree[u].back().first < r) return 0;
auto p = lower_bound(tree[u].begin(), tree[u].end(), pii{ r, 0 }) - tree[u].begin();
return suf[u][(int)p];
}
int tm = (tl + tr) / 2;
return query(2*u, tl, tm, l, r) + query(2*u+1, tm+1, tr, l, r);
}
int query(int l, int r) { return query(1, 1, n, l, r); }
} tree;
int dr[8] = {0, -1, 0, 1, 1, 1, -1, -1};
int dc[8] = {-1, 0, 1, 0, 1, -1, 1, -1};
char mat[2005][2005];
bool vis[2005][2005];
int L=1e9, R=-1, sum=0, n, m;
void dfs(int r, int c) {
vis[r][c] = 1;
L = min(L, c); R = max(R, c);
sum += (mat[r][c] - '0');
for(int i=0; i<4; i++) {
int newR = r + dr[i];
int newC = c + dc[i];
if(newR < 0 || newR >= n || newC < 0 || newC >= m) continue;
if(vis[newR][newC] || mat[newR][newC] == '.') continue;
dfs(newR, newC);
}
}
int dp[2005][2005];
void f(int l, int r, int tl, int tr, int j) {
if(l > r) return ;
int tm = (l + r) / 2, p = tl;
// if(j == 2) cout << l << " " << r << " " << tl << " " << tr << '\n';
for(int i=tl; i<=min(tm, tr); i++) {
// if(j == 2) cout << i << " " << tm << ": " << tree.query(i, tm) << '\n';
ll v = dp[i-1][j-1] + tree.query(i, tm);
if(v > dp[tm][j]) {
dp[tm][j] = v;
p = i;
}
}
f(l, tm-1, tl, p, j);
f(tm+1, r, p, tr, j);
}
signed main() {
ios_base::sync_with_stdio(false);
cout.tie(0); cin.tie(0);
cin >> n >> m;
for(int i=0; i<n; i++)
for(int j=0; j<m; j++) cin >> mat[i][j];
vector<vector<pii> > vec(m+1);
for(int i=0; i<n; i++) {
for(int j=0; j<m; j++) {
if(vis[i][j] || mat[i][j] == '.') continue;
L=1e9, R=-1, sum=0;
dfs(i, j);
vec[L+1].push_back({ R+1, sum });
}
}
for(int i=1; i<=m; i++) sort(vec[i].begin(), vec[i].end());
tree.init(vec);
for(int i=1; i<=m; i++) {
f(1, m, 1, m, i);
int mx = 0;
for(int j=1; j<=m; j++) mx = max(mx, dp[j][i]);
cout << mx << '\n';
}
return 0;
}
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