#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define all(a) (a).begin(), (a).end()
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define fr(i, a, b) for (ll i = (a); i <= (b); i++)
#define per(i, n) for (ll i = (n); i > 0; i--)
#define pr(i, a, b) for (ll i = (a); i >= (b); i--)
#define sz(x) ((int)x.size())
#define pb push_back
#define st first
#define nd second
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll
#define clz(x) ((x)==0 ? 32 : __builtin_clz(x))
#define clzll(x) ((x)==0 ? 64 : __builtin_clzll(x))
#define ctz __builtin_ctz
#define ctzll __builtin_ctzll
#define debug(x) cerr << __LINE__ << ' ' << #x << ':' << (x) << '\n'
#define debug2(x, y) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << '\n'
#define debug3(x, y, z) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << ',' << #z << ':' << (z) << '\n'
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef long double ld;
template<class T> using P = pair<T, T>;
template<class T> using pri_s = priority_queue<T, vector<T>, greater<T>>;
template<class T> using pri_b = priority_queue<T>;
template <class T> using sds=tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
constexpr int inf = 1000000010;
constexpr int inf2 = 2000000010;
constexpr ll INF = 1000000000000000010; // 1e18 + 10
constexpr ll INF4 = 4000000000000000010; // 4e18 + 10
constexpr int mod1e9 = 1000000007;
constexpr int mod998 = 998244353;
constexpr ld eps = 1e-12;
constexpr ld pi = 3.141592653589793238;
constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; };
int dx[] = { 1,0,-1,0,1,1,-1,-1,0 }; int dy[] = { 0,1,0,-1,1,-1,1,-1,0 };
ll mul(ll a, ll b) { return (b != 0 && a > INF / b ? INF : a * b); }
// void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); }
// template<class T> void er(T a) { cout << a << '\n'; exit(0); }
template<class T, class U> inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return true; } return false; }
template<class T, class U> inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return true; } return false; }
template<class T> istream& operator >>(istream& s, vector<T>& v) { for (auto& e : v) s >> e; return s; }
template<class T, class U> istream& operator >>(istream& s, pair<T, U>& p) { s >> p.first >> p.second; return s; }
template<class T> ostream& operator <<(ostream& s, const vector<T>& v) { for (auto& e : v) s << e << ' '; return s; }
template<class T, class U> ostream& operator << (ostream& s, const pair<T, U>& p) { s << p.first << ' ' << p.second; return s; }
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
constexpr ll mod = mod1e9;
template <int mod> class modint {
public:
int n;
modint() : n(0) {};
modint(ll n_) {
n = n_ % mod;
if (n < 0) n += mod;
}
modint operator -() const { return n > 0 ? mod - n : -n; }
bool operator == (const modint& m) const { return n == m.n; }
bool operator != (const modint& m) const { return n != m.n; }
modint& operator += (const modint& m) { n += m.n; if (n >= mod) n -= mod; return *this; }
modint& operator -= (const modint& m) { n -= m.n; if (n < 0) n += mod; return *this; }
modint& operator *= (const modint& m) { n = ll(n) * m.n % mod; return *this; }
modint& operator /= (const modint& m) { n = ll(n) * modinv(m).n % mod; return *this; }
modint operator +(modint m) const { return modint(*this) += m; }
modint operator -(modint m) const { return modint(*this) -= m; }
modint operator *(modint m) const { return modint(*this) *= m; }
modint operator /(modint m) const { return modint(*this) /= m; }
modint& operator ++ () { *this += 1; return *this; }
modint operator ++ (int) { *this += 1; return *this - 1; }
modint& operator -- () { *this -= 1; return *this; }
modint operator -- (int) { *this -= 1; return *this + 1; }
modint pow(ll b) const {
modint res = 1, a = modint(*this);
while (b) {
if (b & 1) res *= a;
a *= a;
b >>= 1;
}
return res;
}
friend istream& operator >> (istream& s, modint<mod>& a) { s >> a.n; return s; }
friend ostream& operator << (ostream& s, modint<mod>& a) { s << a.n; return s; }
};
using mint = modint<mod>;
ostream& operator <<(ostream& s, const vector<mint>& v) { for (auto& e : v) s << e.n << ' '; return s; }
mint modinv(mint x) {
ll a = x.n;
if (a == 0) abort();
ll b = mod, u = 1, v = 0;
while (b) {
ll t = a / b;
a -= t * b; swap(a, b);
u -= t * v; swap(u, v);
}
mint res = u;
return res;
}
vector<mint> fac, inv, facinv;
void modcalc(int n) {
fac.resize(n); inv.resize(n); facinv.resize(n);
fac[0] = 1; fac[1] = 1; inv[1] = 1;
facinv[0] = 1; facinv[1] = 1;
for (ll i = 2; i < n; i++) {
fac[i] = fac[i - 1] * i;
inv[i] = -inv[mod % i] * (mod / i);
facinv[i] = facinv[i - 1] * inv[i];
}
}
mint comb(ll n, ll k) {
if (n < 0 || k < 0 || n < k) return 0;
return fac[n] * facinv[k] * facinv[n - k];
}
mint perm(ll n, ll k) {
if (n < 0 || k < 0 || n < k) return 0;
return fac[n] * facinv[n - k];
}
ll floor_div(ll x, ll y) {
assert(y != 0);
if (y < 0) {
y = -y;
x = -x;
}
if (x >= 0) return x / y;
return (x + 1) / y - 1;
}
ll ceil_div(ll x, ll y) {
assert(y != 0);
if (y < 0) {
y = -y;
x = -x;
}
if (x <= 0) return x / y;
return (x - 1) / y + 1;
}
#define pi P<int>
#define vi vector<int>
#define vpi vector<P<int>>
#define vvi vector<vi>
#define vvpi vector<vpi>
#define int ll
// ======================================================================================================================
// ======================================================================================================================
// ======================================================================================================================
int n,m,k;
vi calc(vpi v){
sort(all(v), greater<pi>());
vi pref(n+1, 0);
vi msuf(n+1, 0);
fr(i, 1, n){
pref[i] = pref[i-1] + v[i-1].st;
}
pr(i, n-1, 0){
msuf[i] = max(msuf[i+1], v[i].nd);
}
vi res(n, 0);
int curr = -INF;
rep(i, n){
pi c = v[i];
res[i] = max(msuf[i] + pref[i], curr + pref[i+1]);
chmax(curr, c.nd-c.st);
}
return res;
}
void solve(){
cin>>n>>m>>k;
vvi ros, mal;
rep(i, n){
vector<int> v(m);
cin>>v;
if (v[0] < v.back()) ros.pb(v);
else mal.pb(v);
}
vi wmal = {0};
vi wsk(sz(mal), 0);
pri_b<P<int>> kol;
rep(i, sz(mal)){
kol.push({mal[i][0], i});
}
while (!kol.empty()){
pi s = kol.top();
kol.pop();
wsk[s.nd]++;
if (wsk[s.nd] < m) kol.push({mal[s.nd][wsk[s.nd]], s.nd});
wmal.pb(wmal.back()+s.st);
}
n = sz(ros);
vi wros(n*m+1, 0);
vpi v(n, {0, 0});
rep(i, sz(ros)){
for (auto j : ros[i]) v[i].st += j;
}
fr(i, 1, m-1){
rep(j, sz(ros)){
v[j].nd += ros[j][i-1];
}
vi cres = calc(v);
rep(j, n){
wros[i+j*m] = cres[j];
}
}
sort(all(v), greater<pi>());
fr(i, 1, n) wros[i*m] = wros[(i-1)*m] + v[i-1].st;
// cout<<wmal<<"\n"<<wros<<"\n";
int res = 0;
fr(i, 0, k){
if (i > sz(mal)*m || k-i > n*m) continue;
chmax(res, wmal[i]+wros[k-i]);
}
cout<<res<<"\n";
}
int32_t main()
{
std::cin.tie(nullptr); std::cout.tie(nullptr); std::ios_base::sync_with_stdio(0);
int abctest=1;
// cin>>abctest;
while (abctest--){
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 | #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #define all(a) (a).begin(), (a).end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define fr(i, a, b) for (ll i = (a); i <= (b); i++) #define per(i, n) for (ll i = (n); i > 0; i--) #define pr(i, a, b) for (ll i = (a); i >= (b); i--) #define sz(x) ((int)x.size()) #define pb push_back #define st first #define nd second #define popcount __builtin_popcount #define popcountll __builtin_popcountll #define clz(x) ((x)==0 ? 32 : __builtin_clz(x)) #define clzll(x) ((x)==0 ? 64 : __builtin_clzll(x)) #define ctz __builtin_ctz #define ctzll __builtin_ctzll #define debug(x) cerr << __LINE__ << ' ' << #x << ':' << (x) << '\n' #define debug2(x, y) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << '\n' #define debug3(x, y, z) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << ',' << #z << ':' << (z) << '\n' using namespace std; using namespace __gnu_pbds; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; template<class T> using P = pair<T, T>; template<class T> using pri_s = priority_queue<T, vector<T>, greater<T>>; template<class T> using pri_b = priority_queue<T>; template <class T> using sds=tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; constexpr int inf = 1000000010; constexpr int inf2 = 2000000010; constexpr ll INF = 1000000000000000010; // 1e18 + 10 constexpr ll INF4 = 4000000000000000010; // 4e18 + 10 constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1,0 }; int dy[] = { 0,1,0,-1,1,-1,1,-1,0 }; ll mul(ll a, ll b) { return (b != 0 && a > INF / b ? INF : a * b); } // void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); } // template<class T> void er(T a) { cout << a << '\n'; exit(0); } template<class T, class U> inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return true; } return false; } template<class T, class U> inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return true; } return false; } template<class T> istream& operator >>(istream& s, vector<T>& v) { for (auto& e : v) s >> e; return s; } template<class T, class U> istream& operator >>(istream& s, pair<T, U>& p) { s >> p.first >> p.second; return s; } template<class T> ostream& operator <<(ostream& s, const vector<T>& v) { for (auto& e : v) s << e << ' '; return s; } template<class T, class U> ostream& operator << (ostream& s, const pair<T, U>& p) { s << p.first << ' ' << p.second; return s; } // mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); constexpr ll mod = mod1e9; template <int mod> class modint { public: int n; modint() : n(0) {}; modint(ll n_) { n = n_ % mod; if (n < 0) n += mod; } modint operator -() const { return n > 0 ? mod - n : -n; } bool operator == (const modint& m) const { return n == m.n; } bool operator != (const modint& m) const { return n != m.n; } modint& operator += (const modint& m) { n += m.n; if (n >= mod) n -= mod; return *this; } modint& operator -= (const modint& m) { n -= m.n; if (n < 0) n += mod; return *this; } modint& operator *= (const modint& m) { n = ll(n) * m.n % mod; return *this; } modint& operator /= (const modint& m) { n = ll(n) * modinv(m).n % mod; return *this; } modint operator +(modint m) const { return modint(*this) += m; } modint operator -(modint m) const { return modint(*this) -= m; } modint operator *(modint m) const { return modint(*this) *= m; } modint operator /(modint m) const { return modint(*this) /= m; } modint& operator ++ () { *this += 1; return *this; } modint operator ++ (int) { *this += 1; return *this - 1; } modint& operator -- () { *this -= 1; return *this; } modint operator -- (int) { *this -= 1; return *this + 1; } modint pow(ll b) const { modint res = 1, a = modint(*this); while (b) { if (b & 1) res *= a; a *= a; b >>= 1; } return res; } friend istream& operator >> (istream& s, modint<mod>& a) { s >> a.n; return s; } friend ostream& operator << (ostream& s, modint<mod>& a) { s << a.n; return s; } }; using mint = modint<mod>; ostream& operator <<(ostream& s, const vector<mint>& v) { for (auto& e : v) s << e.n << ' '; return s; } mint modinv(mint x) { ll a = x.n; if (a == 0) abort(); ll b = mod, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } mint res = u; return res; } vector<mint> fac, inv, facinv; void modcalc(int n) { fac.resize(n); inv.resize(n); facinv.resize(n); fac[0] = 1; fac[1] = 1; inv[1] = 1; facinv[0] = 1; facinv[1] = 1; for (ll i = 2; i < n; i++) { fac[i] = fac[i - 1] * i; inv[i] = -inv[mod % i] * (mod / i); facinv[i] = facinv[i - 1] * inv[i]; } } mint comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[k] * facinv[n - k]; } mint perm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[n - k]; } ll floor_div(ll x, ll y) { assert(y != 0); if (y < 0) { y = -y; x = -x; } if (x >= 0) return x / y; return (x + 1) / y - 1; } ll ceil_div(ll x, ll y) { assert(y != 0); if (y < 0) { y = -y; x = -x; } if (x <= 0) return x / y; return (x - 1) / y + 1; } #define pi P<int> #define vi vector<int> #define vpi vector<P<int>> #define vvi vector<vi> #define vvpi vector<vpi> #define int ll // ====================================================================================================================== // ====================================================================================================================== // ====================================================================================================================== int n,m,k; vi calc(vpi v){ sort(all(v), greater<pi>()); vi pref(n+1, 0); vi msuf(n+1, 0); fr(i, 1, n){ pref[i] = pref[i-1] + v[i-1].st; } pr(i, n-1, 0){ msuf[i] = max(msuf[i+1], v[i].nd); } vi res(n, 0); int curr = -INF; rep(i, n){ pi c = v[i]; res[i] = max(msuf[i] + pref[i], curr + pref[i+1]); chmax(curr, c.nd-c.st); } return res; } void solve(){ cin>>n>>m>>k; vvi ros, mal; rep(i, n){ vector<int> v(m); cin>>v; if (v[0] < v.back()) ros.pb(v); else mal.pb(v); } vi wmal = {0}; vi wsk(sz(mal), 0); pri_b<P<int>> kol; rep(i, sz(mal)){ kol.push({mal[i][0], i}); } while (!kol.empty()){ pi s = kol.top(); kol.pop(); wsk[s.nd]++; if (wsk[s.nd] < m) kol.push({mal[s.nd][wsk[s.nd]], s.nd}); wmal.pb(wmal.back()+s.st); } n = sz(ros); vi wros(n*m+1, 0); vpi v(n, {0, 0}); rep(i, sz(ros)){ for (auto j : ros[i]) v[i].st += j; } fr(i, 1, m-1){ rep(j, sz(ros)){ v[j].nd += ros[j][i-1]; } vi cres = calc(v); rep(j, n){ wros[i+j*m] = cres[j]; } } sort(all(v), greater<pi>()); fr(i, 1, n) wros[i*m] = wros[(i-1)*m] + v[i-1].st; // cout<<wmal<<"\n"<<wros<<"\n"; int res = 0; fr(i, 0, k){ if (i > sz(mal)*m || k-i > n*m) continue; chmax(res, wmal[i]+wros[k-i]); } cout<<res<<"\n"; } int32_t main() { std::cin.tie(nullptr); std::cout.tie(nullptr); std::ios_base::sync_with_stdio(0); int abctest=1; // cin>>abctest; while (abctest--){ solve(); } return 0; } |
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