#define _CRT_SECURE_NO_WARNINGS
#include<cstdio>
#include<algorithm>
#include<vector>
#include<climits>
using namespace std;
constexpr auto K = 300005;
long long sumy_dla_malejacych[K];
vector<vector<long long>> wiersze_rosnace;
struct StosNalesnikow {
long long suma;
vector<long long> suma_poczatkowa;
};
vector<long long> solve(vector<vector<long long>>& stosy_nalesnikow, int n, int m) {
int ile_wszystkich = n * m;
vector<StosNalesnikow> wzbogacone_stosy_nalesnikow(n);
for (int i = 0; i < n; ++i) {
wzbogacone_stosy_nalesnikow[i].suma_poczatkowa.assign(m + 1, 0);
for (int j = 0; j < m; ++j) {
wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[j + 1] = wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[j] + stosy_nalesnikow[i][j];
}
wzbogacone_stosy_nalesnikow[i].suma = wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[m];
}
sort(begin(wzbogacone_stosy_nalesnikow), end(wzbogacone_stosy_nalesnikow),
[](const StosNalesnikow& a, const StosNalesnikow& b) {
return a.suma > b.suma;
}
);
vector<long long> sumy_w_pionie(n + 1, 0);
for (int i = 0; i < n; ++i) {
sumy_w_pionie[i + 1] = sumy_w_pionie[i] + wzbogacone_stosy_nalesnikow[i].suma;
}
long long MIN_INF = LLONG_MIN;
vector<long long> result(ile_wszystkich + 1, MIN_INF);
result[0] = 0;
for (int i = 1; i <= n; i++) {
result[i * m] = sumy_w_pionie[i];
}
for (int p = 1; p < m; p++) {
vector<long long> max_left(n + 1, MIN_INF);
vector<long long> max_right(n + 1, MIN_INF);
long long current_max_left = MIN_INF;
for (int i = 1; i <= n; i++) {
long long P_i_p = wzbogacone_stosy_nalesnikow[i - 1].suma_poczatkowa[p];
long long S_i = wzbogacone_stosy_nalesnikow[i - 1].suma;
current_max_left = max(current_max_left, P_i_p - S_i);
max_left[i] = current_max_left;
}
long long current_max_right = MIN_INF;
for (int i = n - 1; i >= 0; i--) {
long long P_i_p = wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[p];
current_max_right = max(current_max_right, P_i_p);
max_right[i] = current_max_right;
}
for (int i = 0; i < n; i++) {
int k = i * m + p;
long long best = MIN_INF;
if (i >= 1) {
best = max(best, sumy_w_pionie[i + 1] + max_left[i]);
}
if (i < n) {
best = max(best, sumy_w_pionie[i] + max_right[i]);
}
result[k] = max(result[k], best);
}
}
return result;
}
int main() {
int n, m, k;
scanf("%d %d %d", &n, &m, &k);
vector<long long> elementy_malejace;
for (int i = 0; i < n; i++) {
vector<long long> wiersz = vector<long long>(m);
for (int j = 0; j < m; j++) {
scanf("%lld", &wiersz[j]);
}
bool malejacy = true;
for (int j = 1; j < m; j++) {
if (wiersz[j] > wiersz[j - 1]) {
malejacy = false;
break;
}
}
if (malejacy) {
elementy_malejace.insert(end(elementy_malejace), begin(wiersz), end(wiersz));
}
else {
wiersze_rosnace.push_back(wiersz);
}
}
sort(begin(elementy_malejace), end(elementy_malejace), greater<long long>());
int s = elementy_malejace.size();
for (int i = 0; i < s; i++) {
sumy_dla_malejacych[i + 1] = sumy_dla_malejacych[i] + elementy_malejace[i];
}
int ile_wierszy_rosnacych = wiersze_rosnace.size();
vector<long long> wynik_dla_rosnacych;
if (ile_wierszy_rosnacych > 0) {
wynik_dla_rosnacych = solve(wiersze_rosnace, ile_wierszy_rosnacych, m);
}
int ile_rosnacych = wynik_dla_rosnacych.size();
long long result = 0;
long long ile_malejacych = min(s, k);
for (int i = 0; i <= ile_malejacych; i++) {
long long new_result = 0;
if (k - i < ile_rosnacych) {
new_result = sumy_dla_malejacych[i] + wynik_dla_rosnacych[k - i];
}
else {
new_result = sumy_dla_malejacych[i];
}
if (new_result > result) {
result = new_result;
}
}
printf("%lld\n", result);
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 | #define _CRT_SECURE_NO_WARNINGS #include<cstdio> #include<algorithm> #include<vector> #include<climits> using namespace std; constexpr auto K = 300005; long long sumy_dla_malejacych[K]; vector<vector<long long>> wiersze_rosnace; struct StosNalesnikow { long long suma; vector<long long> suma_poczatkowa; }; vector<long long> solve(vector<vector<long long>>& stosy_nalesnikow, int n, int m) { int ile_wszystkich = n * m; vector<StosNalesnikow> wzbogacone_stosy_nalesnikow(n); for (int i = 0; i < n; ++i) { wzbogacone_stosy_nalesnikow[i].suma_poczatkowa.assign(m + 1, 0); for (int j = 0; j < m; ++j) { wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[j + 1] = wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[j] + stosy_nalesnikow[i][j]; } wzbogacone_stosy_nalesnikow[i].suma = wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[m]; } sort(begin(wzbogacone_stosy_nalesnikow), end(wzbogacone_stosy_nalesnikow), [](const StosNalesnikow& a, const StosNalesnikow& b) { return a.suma > b.suma; } ); vector<long long> sumy_w_pionie(n + 1, 0); for (int i = 0; i < n; ++i) { sumy_w_pionie[i + 1] = sumy_w_pionie[i] + wzbogacone_stosy_nalesnikow[i].suma; } long long MIN_INF = LLONG_MIN; vector<long long> result(ile_wszystkich + 1, MIN_INF); result[0] = 0; for (int i = 1; i <= n; i++) { result[i * m] = sumy_w_pionie[i]; } for (int p = 1; p < m; p++) { vector<long long> max_left(n + 1, MIN_INF); vector<long long> max_right(n + 1, MIN_INF); long long current_max_left = MIN_INF; for (int i = 1; i <= n; i++) { long long P_i_p = wzbogacone_stosy_nalesnikow[i - 1].suma_poczatkowa[p]; long long S_i = wzbogacone_stosy_nalesnikow[i - 1].suma; current_max_left = max(current_max_left, P_i_p - S_i); max_left[i] = current_max_left; } long long current_max_right = MIN_INF; for (int i = n - 1; i >= 0; i--) { long long P_i_p = wzbogacone_stosy_nalesnikow[i].suma_poczatkowa[p]; current_max_right = max(current_max_right, P_i_p); max_right[i] = current_max_right; } for (int i = 0; i < n; i++) { int k = i * m + p; long long best = MIN_INF; if (i >= 1) { best = max(best, sumy_w_pionie[i + 1] + max_left[i]); } if (i < n) { best = max(best, sumy_w_pionie[i] + max_right[i]); } result[k] = max(result[k], best); } } return result; } int main() { int n, m, k; scanf("%d %d %d", &n, &m, &k); vector<long long> elementy_malejace; for (int i = 0; i < n; i++) { vector<long long> wiersz = vector<long long>(m); for (int j = 0; j < m; j++) { scanf("%lld", &wiersz[j]); } bool malejacy = true; for (int j = 1; j < m; j++) { if (wiersz[j] > wiersz[j - 1]) { malejacy = false; break; } } if (malejacy) { elementy_malejace.insert(end(elementy_malejace), begin(wiersz), end(wiersz)); } else { wiersze_rosnace.push_back(wiersz); } } sort(begin(elementy_malejace), end(elementy_malejace), greater<long long>()); int s = elementy_malejace.size(); for (int i = 0; i < s; i++) { sumy_dla_malejacych[i + 1] = sumy_dla_malejacych[i] + elementy_malejace[i]; } int ile_wierszy_rosnacych = wiersze_rosnace.size(); vector<long long> wynik_dla_rosnacych; if (ile_wierszy_rosnacych > 0) { wynik_dla_rosnacych = solve(wiersze_rosnace, ile_wierszy_rosnacych, m); } int ile_rosnacych = wynik_dla_rosnacych.size(); long long result = 0; long long ile_malejacych = min(s, k); for (int i = 0; i <= ile_malejacych; i++) { long long new_result = 0; if (k - i < ile_rosnacych) { new_result = sumy_dla_malejacych[i] + wynik_dla_rosnacych[k - i]; } else { new_result = sumy_dla_malejacych[i]; } if (new_result > result) { result = new_result; } } printf("%lld\n", result); return 0; } |
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