#pragma GCC optimize ("Ofast")
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define FOR(i, a, b) for (auto i=(a); i<(b); i++)
#define FORD(i, a, b) for (auto i=(a); i>(b); i--)
#define SZ(x) ((int)(x).size())
#define ITH_BIT(m, i) ((m)>>(i) & 1)
#define PPC(x) __builtin_popcount(x)
#ifdef DEBUG
#include "debug.h"
#else
#define dbg(...) 0
#endif
template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = std::min(a, (T1)b); }
template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = std::max(a, (T1)b); }
const int maxN = 1 << 19;
long long decsFinal[maxN], incsFinal[maxN];
namespace INCS
{
std::vector <std::vector <long long> > prefInRow, prefOfSufs, sufOfPrefs;
std::vector <long long> sums;
int n, m;
void order(std::vector <std::vector <long long> >& stock)
{
for (auto& row : stock)
{
auto sum = std::accumulate(row.begin(), row.end(), 0ll);
row.push_back(sum);
}
std::ranges::sort(stock, [](const auto& a, const auto& b) -> bool {
return a.back() > b.back();
});
for (auto& row : stock)
{
sums.push_back(row.back());
row.pop_back();
}
}
void precomp(std::vector <std::vector <long long> >& stock)
{
prefInRow = stock;
for (auto& prefRow : prefInRow)
FOR(j, 1, m)
prefRow[j] += prefRow[j-1];
prefOfSufs = prefInRow;
FOR(i, 0, n)
for (long long& p : prefOfSufs[i])
p = sums[i] - p;
FOR(i, 1, n)
FOR(j, 0, m)
remin(prefOfSufs[i][j], prefOfSufs[i-1][j]);
sufOfPrefs = prefInRow;
FORD(i, n-2, -1)
FOR(j, 0, m)
remax(sufOfPrefs[i][j], sufOfPrefs[i+1][j]);
}
int compute()
{
int incsN = 1;
long long rowsPrefPrev = 0;
FOR(i, 0, n)
{
long long rowsPrefCurr = rowsPrefPrev + sums[i];
FOR(j, 0, m)
{
long long a = rowsPrefCurr - prefOfSufs[i][j];
long long b = rowsPrefPrev + sufOfPrefs[i][j];
incsFinal[incsN++] = std::max(a, b);
}
rowsPrefPrev = rowsPrefCurr;
}
assert(incsN == n * m + 1);
return incsN;
}
int computeIncs(std::vector <std::vector <long long> >& stock)
{
if (stock.empty())
return 1;
n = SZ(stock), m = SZ(stock.front());
order(stock);
precomp(stock);
int incsN = compute();
return incsN - 1;
}
}
int computeDecs(const std::vector <std::vector <long long> >& stock)
{
int p = 1;
for (const auto& row : stock)
std::ranges::copy(row, decsFinal + p), p += row.size();
std::sort(decsFinal + 1, decsFinal + p, std::greater<long long>());
FOR(i, 1, p)
decsFinal[i] += decsFinal[i-1];
return p-1;
}
void solve()
{
int n, m, k;
scanf ("%d%d%d", &n, &m, &k);
std::vector <std::vector <long long> > decs, incs;
FOR(i, 0, n)
{
std::vector <long long> buf(m);
for (long long& x : buf)
scanf ("%lld", &x);
auto& stock = buf[0] < buf[m-1] ? incs : decs;
stock.push_back(buf);
}
int decsN = computeDecs(decs);
int incsN = INCS::computeIncs(incs);
long long res = 0;
FOR(i, 0, k+1)
if (i <= decsN and k-i <= incsN)
remax(res, decsFinal[i] + incsFinal[k - i]);
printf("%lld\n", res);
}
int main()
{
int tc = 1;
// scanf ("%d", &tc);
FOR(cid, 1, tc+1)
{
// printf("Case #%d: ", cid);
solve();
}
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 | #pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (auto i=(a); i<(b); i++) #define FORD(i, a, b) for (auto i=(a); i>(b); i--) #define SZ(x) ((int)(x).size()) #define ITH_BIT(m, i) ((m)>>(i) & 1) #define PPC(x) __builtin_popcount(x) #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = std::min(a, (T1)b); } template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = std::max(a, (T1)b); } const int maxN = 1 << 19; long long decsFinal[maxN], incsFinal[maxN]; namespace INCS { std::vector <std::vector <long long> > prefInRow, prefOfSufs, sufOfPrefs; std::vector <long long> sums; int n, m; void order(std::vector <std::vector <long long> >& stock) { for (auto& row : stock) { auto sum = std::accumulate(row.begin(), row.end(), 0ll); row.push_back(sum); } std::ranges::sort(stock, [](const auto& a, const auto& b) -> bool { return a.back() > b.back(); }); for (auto& row : stock) { sums.push_back(row.back()); row.pop_back(); } } void precomp(std::vector <std::vector <long long> >& stock) { prefInRow = stock; for (auto& prefRow : prefInRow) FOR(j, 1, m) prefRow[j] += prefRow[j-1]; prefOfSufs = prefInRow; FOR(i, 0, n) for (long long& p : prefOfSufs[i]) p = sums[i] - p; FOR(i, 1, n) FOR(j, 0, m) remin(prefOfSufs[i][j], prefOfSufs[i-1][j]); sufOfPrefs = prefInRow; FORD(i, n-2, -1) FOR(j, 0, m) remax(sufOfPrefs[i][j], sufOfPrefs[i+1][j]); } int compute() { int incsN = 1; long long rowsPrefPrev = 0; FOR(i, 0, n) { long long rowsPrefCurr = rowsPrefPrev + sums[i]; FOR(j, 0, m) { long long a = rowsPrefCurr - prefOfSufs[i][j]; long long b = rowsPrefPrev + sufOfPrefs[i][j]; incsFinal[incsN++] = std::max(a, b); } rowsPrefPrev = rowsPrefCurr; } assert(incsN == n * m + 1); return incsN; } int computeIncs(std::vector <std::vector <long long> >& stock) { if (stock.empty()) return 1; n = SZ(stock), m = SZ(stock.front()); order(stock); precomp(stock); int incsN = compute(); return incsN - 1; } } int computeDecs(const std::vector <std::vector <long long> >& stock) { int p = 1; for (const auto& row : stock) std::ranges::copy(row, decsFinal + p), p += row.size(); std::sort(decsFinal + 1, decsFinal + p, std::greater<long long>()); FOR(i, 1, p) decsFinal[i] += decsFinal[i-1]; return p-1; } void solve() { int n, m, k; scanf ("%d%d%d", &n, &m, &k); std::vector <std::vector <long long> > decs, incs; FOR(i, 0, n) { std::vector <long long> buf(m); for (long long& x : buf) scanf ("%lld", &x); auto& stock = buf[0] < buf[m-1] ? incs : decs; stock.push_back(buf); } int decsN = computeDecs(decs); int incsN = INCS::computeIncs(incs); long long res = 0; FOR(i, 0, k+1) if (i <= decsN and k-i <= incsN) remax(res, decsFinal[i] + incsFinal[k - i]); printf("%lld\n", res); } int main() { int tc = 1; // scanf ("%d", &tc); FOR(cid, 1, tc+1) { // printf("Case #%d: ", cid); solve(); } return 0; } |
English