#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define sn second
typedef long long ll;
typedef vector<ll> VI;
typedef vector<char> VC;
typedef pair<int, int> PI;
const int DUNNO = 0;
const int ASC = 1;
const int DESC = 2;
// const ll INF = ((ll)300 * (ll)1000) * (ll)1000 * (ll)1000 * (ll)1000 * (ll)1000 + (ll)7;
ll INF = LLONG_MAX;
// struct Sortable {
// VI& v;
// ll total;
// };
struct SortableColumn {
// VI v;
VI pref;
ll sum;
};
struct BestVals {
VI vals;
int cnt;
};
// bool operator<(const Sortable& a, const Sortable& b) {
// return a.total > b.total;
// }
bool operator<(const SortableColumn& a, const SortableColumn& b) {
return a.sum > b.sum;
}
int main() {
#ifdef DEBUG
cout << "Debug mode" << endl;
#endif
int n, k, m;
cin >> n >> m >> k;
vector<VI> pancakes(n);
// map < ll, BestVals> M;
vector<SortableColumn> asc_cols;
VI all_desc;
// VI ascending;
VI descending;
VI ascending(1, 0);
ll sum_asc = 0;
ll cnt_asc = 0;
for (int i = 0; i < n; i++) {
pancakes[i].resize(m);
ll total = 0;
for (int j = 0; j < m; j++) {
cin >> pancakes[i][j];
total += pancakes[i][j];
}
int monotono = DUNNO;
for (int j = 1; j < m; j++) {
if (pancakes[i][j] > pancakes[i][j - 1]) {
monotono = ASC;
break;
}
else if (pancakes[i][j] < pancakes[i][j - 1]) {
monotono = DESC;
break;
}
}
if (monotono == DESC or monotono == DUNNO) {
all_desc.insert(all_desc.end(), pancakes[i].begin(), pancakes[i].end());
}
else {
SortableColumn col;
// col.v = pancakes[i];
col.sum = total;
col.pref = VI(m + 1, 0);
for (int j = 1; j <= m; j++) {
col.pref[j] = col.pref[j - 1] + pancakes[i][j - 1];
}
asc_cols.pb(col);
}
}
sort(all_desc.rbegin(), all_desc.rend());
sort(asc_cols.begin(), asc_cols.end());
#ifdef DEBUG
cout << "all_desc" << endl;
for (int i = 0; i < all_desc.size(); i++) {
cout << all_desc[i] << " ";
}
cout << endl;
#endif
int desc_num = (int)all_desc.size();
descending.resize(desc_num + 1);
descending[0] = 0;
for (int i = 1; i <= desc_num; i++)
descending[i] = descending[i - 1] + all_desc[i - 1];
int n0 = asc_cols.size();
VI full(n0 + 1, 0);
for (int i = 1; i <= n0; i++) {
full[i] = full[i - 1] + asc_cols[i - 1].sum;
}
#ifdef DEBUG
//DBG
cout << "n0: " << n0 << endl;
for (int i = 0; i <= n0; i++) {
cout << full[i] << " ";
}
cout << endl;
//DBG
#endif
vector<VI> best_pref(n0 + 1);
vector<VI> best_suff(n0 + 2);
best_suff[n0 + 1] = VI(m + 1, 0);
for (int i = 0; i <= n0; i++) {
best_pref[i] = VI(m + 1, 0);
best_suff[i] = VI(m + 1, 0);
}
#ifdef DEBUG
//DBG
cout << "stuff " << n0 << "x" << m + 1 << endl;
cout << "asc_cols" << asc_cols.size() << endl;
//DBG
#endif
for (int r = 1; r < m; r++) {
best_pref[0][r] = -INF;
for (int q = 1; q <= n0; q++) {
best_pref[q][r] = max(best_pref[q - 1][r], asc_cols[q - 1].pref[r] - asc_cols[q - 1].sum);
}
best_suff[n0 + 1][r] = -INF;
for (int q = n0; q >= 1; q--) {
best_suff[q][r] = max(best_suff[q + 1][r], asc_cols[q - 1].pref[r]);
}
}
#ifdef DEBUG
//DBG
for (int r = 0; r < m; r++) {
for (int q = 0; q <= n0; q++) {
cout << best_pref[q][r] << " ";
}
cout << endl;
}
for (int r = 0; r < m; r++) {
for (int q = 0; q <= n0; q++) {
cout << best_suff[q][r] << " ";
}
cout << endl;
}
cout << "end_stuff" << endl;
//DBG
#endif
int asc_num = n0 * m;
// cout << asc_num + 1 << endl;
if (asc_num > 0) {
ascending = VI(asc_num + 1, 0);
}
// VI ascending(asc_num + 1, 0);
for (int q = 0; q <= n0; q++) {
ascending[q * m] = full[q];
}
for (int q = 0; q < n0; q++) {
for (int r = 1; r < m; r++) {
ascending[q * m + r] = max(
full[q] + best_suff[q + 1][r],
full[q + 1] + best_pref[q][r]
);
}
}
#ifdef DEBUG
//DBG
for (int i = 0; i <= k; i++) {
cout << i << " ";
}
cout << endl;
for (int i = 0; i < ascending.size(); i++) {
cout << ascending[i] << " ";
}
cout << endl;
for (int i = 0; i < descending.size(); i++) {
cout << descending[i] << " ";
}
cout << endl;
cout << "sizes " << ascending.size() << " " << descending.size() << endl;
//DBG
#endif
ll res = 0;
for (int k0 = 0; k0 <= k; k0++) {
if (k0 < ascending.size() && k - k0 < descending.size()) {
#ifdef DEBUG
//DBG
cout << k0 << " " << k - k0 << ": " << res << " " << ascending[k0] << " + " << descending[k - k0] << endl;
//DBG
#endif
res = max(res, ascending[k0] + descending[k - k0]);
}
}
cout << res << endl;
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 | #include <bits/stdc++.h> using namespace std; #define pb push_back #define fi first #define sn second typedef long long ll; typedef vector<ll> VI; typedef vector<char> VC; typedef pair<int, int> PI; const int DUNNO = 0; const int ASC = 1; const int DESC = 2; // const ll INF = ((ll)300 * (ll)1000) * (ll)1000 * (ll)1000 * (ll)1000 * (ll)1000 + (ll)7; ll INF = LLONG_MAX; // struct Sortable { // VI& v; // ll total; // }; struct SortableColumn { // VI v; VI pref; ll sum; }; struct BestVals { VI vals; int cnt; }; // bool operator<(const Sortable& a, const Sortable& b) { // return a.total > b.total; // } bool operator<(const SortableColumn& a, const SortableColumn& b) { return a.sum > b.sum; } int main() { #ifdef DEBUG cout << "Debug mode" << endl; #endif int n, k, m; cin >> n >> m >> k; vector<VI> pancakes(n); // map < ll, BestVals> M; vector<SortableColumn> asc_cols; VI all_desc; // VI ascending; VI descending; VI ascending(1, 0); ll sum_asc = 0; ll cnt_asc = 0; for (int i = 0; i < n; i++) { pancakes[i].resize(m); ll total = 0; for (int j = 0; j < m; j++) { cin >> pancakes[i][j]; total += pancakes[i][j]; } int monotono = DUNNO; for (int j = 1; j < m; j++) { if (pancakes[i][j] > pancakes[i][j - 1]) { monotono = ASC; break; } else if (pancakes[i][j] < pancakes[i][j - 1]) { monotono = DESC; break; } } if (monotono == DESC or monotono == DUNNO) { all_desc.insert(all_desc.end(), pancakes[i].begin(), pancakes[i].end()); } else { SortableColumn col; // col.v = pancakes[i]; col.sum = total; col.pref = VI(m + 1, 0); for (int j = 1; j <= m; j++) { col.pref[j] = col.pref[j - 1] + pancakes[i][j - 1]; } asc_cols.pb(col); } } sort(all_desc.rbegin(), all_desc.rend()); sort(asc_cols.begin(), asc_cols.end()); #ifdef DEBUG cout << "all_desc" << endl; for (int i = 0; i < all_desc.size(); i++) { cout << all_desc[i] << " "; } cout << endl; #endif int desc_num = (int)all_desc.size(); descending.resize(desc_num + 1); descending[0] = 0; for (int i = 1; i <= desc_num; i++) descending[i] = descending[i - 1] + all_desc[i - 1]; int n0 = asc_cols.size(); VI full(n0 + 1, 0); for (int i = 1; i <= n0; i++) { full[i] = full[i - 1] + asc_cols[i - 1].sum; } #ifdef DEBUG //DBG cout << "n0: " << n0 << endl; for (int i = 0; i <= n0; i++) { cout << full[i] << " "; } cout << endl; //DBG #endif vector<VI> best_pref(n0 + 1); vector<VI> best_suff(n0 + 2); best_suff[n0 + 1] = VI(m + 1, 0); for (int i = 0; i <= n0; i++) { best_pref[i] = VI(m + 1, 0); best_suff[i] = VI(m + 1, 0); } #ifdef DEBUG //DBG cout << "stuff " << n0 << "x" << m + 1 << endl; cout << "asc_cols" << asc_cols.size() << endl; //DBG #endif for (int r = 1; r < m; r++) { best_pref[0][r] = -INF; for (int q = 1; q <= n0; q++) { best_pref[q][r] = max(best_pref[q - 1][r], asc_cols[q - 1].pref[r] - asc_cols[q - 1].sum); } best_suff[n0 + 1][r] = -INF; for (int q = n0; q >= 1; q--) { best_suff[q][r] = max(best_suff[q + 1][r], asc_cols[q - 1].pref[r]); } } #ifdef DEBUG //DBG for (int r = 0; r < m; r++) { for (int q = 0; q <= n0; q++) { cout << best_pref[q][r] << " "; } cout << endl; } for (int r = 0; r < m; r++) { for (int q = 0; q <= n0; q++) { cout << best_suff[q][r] << " "; } cout << endl; } cout << "end_stuff" << endl; //DBG #endif int asc_num = n0 * m; // cout << asc_num + 1 << endl; if (asc_num > 0) { ascending = VI(asc_num + 1, 0); } // VI ascending(asc_num + 1, 0); for (int q = 0; q <= n0; q++) { ascending[q * m] = full[q]; } for (int q = 0; q < n0; q++) { for (int r = 1; r < m; r++) { ascending[q * m + r] = max( full[q] + best_suff[q + 1][r], full[q + 1] + best_pref[q][r] ); } } #ifdef DEBUG //DBG for (int i = 0; i <= k; i++) { cout << i << " "; } cout << endl; for (int i = 0; i < ascending.size(); i++) { cout << ascending[i] << " "; } cout << endl; for (int i = 0; i < descending.size(); i++) { cout << descending[i] << " "; } cout << endl; cout << "sizes " << ascending.size() << " " << descending.size() << endl; //DBG #endif ll res = 0; for (int k0 = 0; k0 <= k; k0++) { if (k0 < ascending.size() && k - k0 < descending.size()) { #ifdef DEBUG //DBG cout << k0 << " " << k - k0 << ": " << res << " " << ascending[k0] << " + " << descending[k - k0] << endl; //DBG #endif res = max(res, ascending[k0] + descending[k - k0]); } } cout << res << endl; return 0; } |
English